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Finding the Fourth Proportional to 284,097.13, 392,121.14 and 163,308.49

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Solution

The fourth proportional to 284,097.13, 392,121.14 and 163,308.49 is: 225,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,097.13 : 392,121.14 = 163,308.49 : x
  2. Step 2: Convert to fraction form
    284,097.13/392,121.14 = 163,308.49/x
  3. Step 3: Cross multiply
    284,097.13x = 392,121.14 × 163,308.49
  4. Step 4: Simplify right side
    284,097.13x = 64,036,709,473.63
  5. Step 5: Solve for x
    x = 64,036,709,473.63/284,097.13
  6. Step 6: Final answer
    x = 225,404.28

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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.