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Finding the Fourth Proportional to 153,382.17, 230,178.36 and 53,542.38

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Solution

The fourth proportional to 153,382.17, 230,178.36 and 53,542.38 is: 80,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,382.17 : 230,178.36 = 53,542.38 : x
  2. Step 2: Convert to fraction form
    153,382.17/230,178.36 = 53,542.38/x
  3. Step 3: Cross multiply
    153,382.17x = 230,178.36 × 53,542.38
  4. Step 4: Simplify right side
    153,382.17x = 12,324,296,686.92
  5. Step 5: Solve for x
    x = 12,324,296,686.92/153,382.17
  6. Step 6: Final answer
    x = 80,350.26

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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.