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Finding the Fourth Proportional to 156,886.20, 216,423.20 and 102,470.24

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Solution

The fourth proportional to 156,886.20, 216,423.20 and 102,470.24 is: 141,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,886.20 : 216,423.20 = 102,470.24 : x
  2. Step 2: Convert to fraction form
    156,886.20/216,423.20 = 102,470.24/x
  3. Step 3: Cross multiply
    156,886.20x = 216,423.20 × 102,470.24
  4. Step 4: Simplify right side
    156,886.20x = 22,176,937,245.57
  5. Step 5: Solve for x
    x = 22,176,937,245.57/156,886.20
  6. Step 6: Final answer
    x = 141,356.84

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