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Finding the Fourth Proportional to 147,378.47, 221,046.17 and 72,478.52

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Solution

The fourth proportional to 147,378.47, 221,046.17 and 72,478.52 is: 108,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,378.47 : 221,046.17 = 72,478.52 : x
  2. Step 2: Convert to fraction form
    147,378.47/221,046.17 = 72,478.52/x
  3. Step 3: Cross multiply
    147,378.47x = 221,046.17 × 72,478.52
  4. Step 4: Simplify right side
    147,378.47x = 16,021,098,148.04
  5. Step 5: Solve for x
    x = 16,021,098,148.04/147,378.47
  6. Step 6: Final answer
    x = 108,707.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.