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Finding the Fourth Proportional to 99,382, 137,150.04 and 54,670

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Solution

The fourth proportional to 99,382, 137,150.04 and 54,670 is: 75,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,382 : 137,150.04 = 54,670 : x
  2. Step 2: Convert to fraction form
    99,382/137,150.04 = 54,670/x
  3. Step 3: Cross multiply
    99,382x = 137,150.04 × 54,670
  4. Step 4: Simplify right side
    99,382x = 7,497,992,686.80
  5. Step 5: Solve for x
    x = 7,497,992,686.80/99,382
  6. Step 6: Final answer
    x = 75,446.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.