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Finding the Fourth Proportional to 100,702.27, 138,958.36 and 58,252.87

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Solution

The fourth proportional to 100,702.27, 138,958.36 and 58,252.87 is: 80,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.27 : 138,958.36 = 58,252.87 : x
  2. Step 2: Convert to fraction form
    100,702.27/138,958.36 = 58,252.87/x
  3. Step 3: Cross multiply
    100,702.27x = 138,958.36 × 58,252.87
  4. Step 4: Simplify right side
    100,702.27x = 8,094,723,280.49
  5. Step 5: Solve for x
    x = 8,094,723,280.49/100,702.27
  6. Step 6: Final answer
    x = 80,382.73

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Why These Related Problems?

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