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Finding the Fourth Proportional to 138,345.60, 207,712.80 and 85,857.60

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Solution

The fourth proportional to 138,345.60, 207,712.80 and 85,857.60 is: 128,907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,345.60 : 207,712.80 = 85,857.60 : x
  2. Step 2: Convert to fraction form
    138,345.60/207,712.80 = 85,857.60/x
  3. Step 3: Cross multiply
    138,345.60x = 207,712.80 × 85,857.60
  4. Step 4: Simplify right side
    138,345.60x = 17,833,722,497.28
  5. Step 5: Solve for x
    x = 17,833,722,497.28/138,345.60
  6. Step 6: Final answer
    x = 128,907.05

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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.