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Finding the Fourth Proportional to 153,142.98, 229,711.23 and 82,089.78

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Solution

The fourth proportional to 153,142.98, 229,711.23 and 82,089.78 is: 123,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,142.98 : 229,711.23 = 82,089.78 : x
  2. Step 2: Convert to fraction form
    153,142.98/229,711.23 = 82,089.78/x
  3. Step 3: Cross multiply
    153,142.98x = 229,711.23 × 82,089.78
  4. Step 4: Simplify right side
    153,142.98x = 18,856,944,334.23
  5. Step 5: Solve for x
    x = 18,856,944,334.23/153,142.98
  6. Step 6: Final answer
    x = 123,132.93

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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.