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Finding the Fourth Proportional to 111,985,802.90, 167,978,704.35 and 31,206,770.90

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Solution

The fourth proportional to 111,985,802.90, 167,978,704.35 and 31,206,770.90 is: 46,810,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,985,802.90 : 167,978,704.35 = 31,206,770.90 : x
  2. Step 2: Convert to fraction form
    111,985,802.90/167,978,704.35 = 31,206,770.90/x
  3. Step 3: Cross multiply
    111,985,802.90x = 167,978,704.35 × 31,206,770.90
  4. Step 4: Simplify right side
    111,985,802.90x = 5,242,072,942,729,283
  5. Step 5: Solve for x
    x = 5,242,072,942,729,283/111,985,802.90
  6. Step 6: Final answer
    x = 46,810,156.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.