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Finding the Fourth Proportional to 284,193.14, 392,206.14 and 163,327.19

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Solution

The fourth proportional to 284,193.14, 392,206.14 and 163,327.19 is: 225,402.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,193.14 : 392,206.14 = 163,327.19 : x
  2. Step 2: Convert to fraction form
    284,193.14/392,206.14 = 163,327.19/x
  3. Step 3: Cross multiply
    284,193.14x = 392,206.14 × 163,327.19
  4. Step 4: Simplify right side
    284,193.14x = 64,057,924,785.92
  5. Step 5: Solve for x
    x = 64,057,924,785.92/284,193.14
  6. Step 6: Final answer
    x = 225,402.79

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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.