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Finding the Fourth Proportional to 285,376.59, 428,069.07 and 135,632.16

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Solution

The fourth proportional to 285,376.59, 428,069.07 and 135,632.16 is: 203,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,376.59 : 428,069.07 = 135,632.16 : x
  2. Step 2: Convert to fraction form
    285,376.59/428,069.07 = 135,632.16/x
  3. Step 3: Cross multiply
    285,376.59x = 428,069.07 × 135,632.16
  4. Step 4: Simplify right side
    285,376.59x = 58,059,932,593.29
  5. Step 5: Solve for x
    x = 58,059,932,593.29/285,376.59
  6. Step 6: Final answer
    x = 203,450.23

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Why These Related Problems?

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