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Finding the Fourth Proportional to 208,470.78, 287,689.92 and 112,977.47

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Solution

The fourth proportional to 208,470.78, 287,689.92 and 112,977.47 is: 155,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,470.78 : 287,689.92 = 112,977.47 : x
  2. Step 2: Convert to fraction form
    208,470.78/287,689.92 = 112,977.47/x
  3. Step 3: Cross multiply
    208,470.78x = 287,689.92 × 112,977.47
  4. Step 4: Simplify right side
    208,470.78x = 32,502,479,306.10
  5. Step 5: Solve for x
    x = 32,502,479,306.10/208,470.78
  6. Step 6: Final answer
    x = 155,909.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.