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Finding the Fourth Proportional to 138,425.80, 207,638.70 and 135,801.40

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Solution

The fourth proportional to 138,425.80, 207,638.70 and 135,801.40 is: 203,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,425.80 : 207,638.70 = 135,801.40 : x
  2. Step 2: Convert to fraction form
    138,425.80/207,638.70 = 135,801.40/x
  3. Step 3: Cross multiply
    138,425.80x = 207,638.70 × 135,801.40
  4. Step 4: Simplify right side
    138,425.80x = 28,197,626,154.18
  5. Step 5: Solve for x
    x = 28,197,626,154.18/138,425.80
  6. Step 6: Final answer
    x = 203,702.10

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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.