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Finding the Fourth Proportional to 138,296.83, 207,359.33 and 58,293.64

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Solution

The fourth proportional to 138,296.83, 207,359.33 and 58,293.64 is: 87,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,296.83 : 207,359.33 = 58,293.64 : x
  2. Step 2: Convert to fraction form
    138,296.83/207,359.33 = 58,293.64/x
  3. Step 3: Cross multiply
    138,296.83x = 207,359.33 × 58,293.64
  4. Step 4: Simplify right side
    138,296.83x = 12,087,729,096.86
  5. Step 5: Solve for x
    x = 12,087,729,096.86/138,296.83
  6. Step 6: Final answer
    x = 87,404.24

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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.