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Finding the Fourth Proportional to 138,000.20, 207,000.30 and 129,835.40

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Solution

The fourth proportional to 138,000.20, 207,000.30 and 129,835.40 is: 194,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,000.20 : 207,000.30 = 129,835.40 : x
  2. Step 2: Convert to fraction form
    138,000.20/207,000.30 = 129,835.40/x
  3. Step 3: Cross multiply
    138,000.20x = 207,000.30 × 129,835.40
  4. Step 4: Simplify right side
    138,000.20x = 26,875,966,750.62
  5. Step 5: Solve for x
    x = 26,875,966,750.62/138,000.20
  6. Step 6: Final answer
    x = 194,753.10

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1.5x scale

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.