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Finding the Fourth Proportional to 284,154.32, 392,132.15 and 156,829

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Solution

The fourth proportional to 284,154.32, 392,132.15 and 156,829 is: 216,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,154.32 : 392,132.15 = 156,829 : x
  2. Step 2: Convert to fraction form
    284,154.32/392,132.15 = 156,829/x
  3. Step 3: Cross multiply
    284,154.32x = 392,132.15 × 156,829
  4. Step 4: Simplify right side
    284,154.32x = 61,497,692,952.35
  5. Step 5: Solve for x
    x = 61,497,692,952.35/284,154.32
  6. Step 6: Final answer
    x = 216,423.57

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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.