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Finding the Fourth Proportional to 138,262.25, 207,473.88 and 58,295.20

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Solution

The fourth proportional to 138,262.25, 207,473.88 and 58,295.20 is: 87,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,262.25 : 207,473.88 = 58,295.20 : x
  2. Step 2: Convert to fraction form
    138,262.25/207,473.88 = 58,295.20/x
  3. Step 3: Cross multiply
    138,262.25x = 207,473.88 × 58,295.20
  4. Step 4: Simplify right side
    138,262.25x = 12,094,731,329.38
  5. Step 5: Solve for x
    x = 12,094,731,329.38/138,262.25
  6. Step 6: Final answer
    x = 87,476.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.