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Finding the Fourth Proportional to 111,465.86, 167,204.25 and 44,897.00

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Solution

The fourth proportional to 111,465.86, 167,204.25 and 44,897.00 is: 67,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,465.86 : 167,204.25 = 44,897.00 : x
  2. Step 2: Convert to fraction form
    111,465.86/167,204.25 = 44,897.00/x
  3. Step 3: Cross multiply
    111,465.86x = 167,204.25 × 44,897.00
  4. Step 4: Simplify right side
    111,465.86x = 7,506,968,376.23
  5. Step 5: Solve for x
    x = 7,506,968,376.23/111,465.86
  6. Step 6: Final answer
    x = 67,347.69

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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.