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Finding the Fourth Proportional to 138,345.10, 207,712.05 and 85,857.10

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Solution

The fourth proportional to 138,345.10, 207,712.05 and 85,857.10 is: 128,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,345.10 : 207,712.05 = 85,857.10 : x
  2. Step 2: Convert to fraction form
    138,345.10/207,712.05 = 85,857.10/x
  3. Step 3: Cross multiply
    138,345.10x = 207,712.05 × 85,857.10
  4. Step 4: Simplify right side
    138,345.10x = 17,833,554,248.06
  5. Step 5: Solve for x
    x = 17,833,554,248.06/138,345.10
  6. Step 6: Final answer
    x = 128,906.29

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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.