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Finding the Fourth Proportional to 261,991.34, 392,658.36 and 112,055.66

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Solution

The fourth proportional to 261,991.34, 392,658.36 and 112,055.66 is: 167,942.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,991.34 : 392,658.36 = 112,055.66 : x
  2. Step 2: Convert to fraction form
    261,991.34/392,658.36 = 112,055.66/x
  3. Step 3: Cross multiply
    261,991.34x = 392,658.36 × 112,055.66
  4. Step 4: Simplify right side
    261,991.34x = 43,999,591,684.32
  5. Step 5: Solve for x
    x = 43,999,591,684.32/261,991.34
  6. Step 6: Final answer
    x = 167,942.92

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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.