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Finding the Fourth Proportional to 261,400.36, 392,092.42 and 74,411.86

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Solution

The fourth proportional to 261,400.36, 392,092.42 and 74,411.86 is: 111,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,400.36 : 392,092.42 = 74,411.86 : x
  2. Step 2: Convert to fraction form
    261,400.36/392,092.42 = 74,411.86/x
  3. Step 3: Cross multiply
    261,400.36x = 392,092.42 × 74,411.86
  4. Step 4: Simplify right side
    261,400.36x = 29,176,326,264.10
  5. Step 5: Solve for x
    x = 29,176,326,264.10/261,400.36
  6. Step 6: Final answer
    x = 111,615.48

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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.