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Finding the Fourth Proportional to 100,086.17, 138,114.86 and 59,822.15

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Solution

The fourth proportional to 100,086.17, 138,114.86 and 59,822.15 is: 82,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,086.17 : 138,114.86 = 59,822.15 : x
  2. Step 2: Convert to fraction form
    100,086.17/138,114.86 = 59,822.15/x
  3. Step 3: Cross multiply
    100,086.17x = 138,114.86 × 59,822.15
  4. Step 4: Simplify right side
    100,086.17x = 8,262,326,882.46
  5. Step 5: Solve for x
    x = 8,262,326,882.46/100,086.17
  6. Step 6: Final answer
    x = 82,552.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.