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Finding the Fourth Proportional to 138,415.30, 207,294.90 and 138,415.30

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Solution

The fourth proportional to 138,415.30, 207,294.90 and 138,415.30 is: 207,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,415.30 : 207,294.90 = 138,415.30 : x
  2. Step 2: Convert to fraction form
    138,415.30/207,294.90 = 138,415.30/x
  3. Step 3: Cross multiply
    138,415.30x = 207,294.90 × 138,415.30
  4. Step 4: Simplify right side
    138,415.30x = 28,692,785,771.97
  5. Step 5: Solve for x
    x = 28,692,785,771.97/138,415.30
  6. Step 6: Final answer
    x = 207,294.90

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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.