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Finding the Fourth Proportional to 287,711.70, 431,567.55 and 110,127.30

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Solution

The fourth proportional to 287,711.70, 431,567.55 and 110,127.30 is: 165,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,711.70 : 431,567.55 = 110,127.30 : x
  2. Step 2: Convert to fraction form
    287,711.70/431,567.55 = 110,127.30/x
  3. Step 3: Cross multiply
    287,711.70x = 431,567.55 × 110,127.30
  4. Step 4: Simplify right side
    287,711.70x = 47,527,369,049.12
  5. Step 5: Solve for x
    x = 47,527,369,049.12/287,711.70
  6. Step 6: Final answer
    x = 165,190.95

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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.