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Finding the Fourth Proportional to 285,202.40, 428,224.14 and 159,089.04

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Solution

The fourth proportional to 285,202.40, 428,224.14 and 159,089.04 is: 238,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,202.40 : 428,224.14 = 159,089.04 : x
  2. Step 2: Convert to fraction form
    285,202.40/428,224.14 = 159,089.04/x
  3. Step 3: Cross multiply
    285,202.40x = 428,224.14 × 159,089.04
  4. Step 4: Simplify right side
    285,202.40x = 68,125,767,337.43
  5. Step 5: Solve for x
    x = 68,125,767,337.43/285,202.40
  6. Step 6: Final answer
    x = 238,868.15

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