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Finding the Fourth Proportional to 285,937.30, 428,909.03 and 86,259.42

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Solution

The fourth proportional to 285,937.30, 428,909.03 and 86,259.42 is: 129,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,937.30 : 428,909.03 = 86,259.42 : x
  2. Step 2: Convert to fraction form
    285,937.30/428,909.03 = 86,259.42/x
  3. Step 3: Cross multiply
    285,937.30x = 428,909.03 × 86,259.42
  4. Step 4: Simplify right side
    285,937.30x = 36,997,443,510.23
  5. Step 5: Solve for x
    x = 36,997,443,510.23/285,937.30
  6. Step 6: Final answer
    x = 129,390.06

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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.