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Finding the Fourth Proportional to 100,081.16, 138,086.08 and 59,777.20

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Solution

The fourth proportional to 100,081.16, 138,086.08 and 59,777.20 is: 82,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,081.16 : 138,086.08 = 59,777.20 : x
  2. Step 2: Convert to fraction form
    100,081.16/138,086.08 = 59,777.20/x
  3. Step 3: Cross multiply
    100,081.16x = 138,086.08 × 59,777.20
  4. Step 4: Simplify right side
    100,081.16x = 8,254,399,221.38
  5. Step 5: Solve for x
    x = 8,254,399,221.38/100,081.16
  6. Step 6: Final answer
    x = 82,477.05

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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.