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Finding the Fourth Proportional to 100,242.68, 138,282.38 and 61,990.02

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Solution

The fourth proportional to 100,242.68, 138,282.38 and 61,990.02 is: 85,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,242.68 : 138,282.38 = 61,990.02 : x
  2. Step 2: Convert to fraction form
    100,242.68/138,282.38 = 61,990.02/x
  3. Step 3: Cross multiply
    100,242.68x = 138,282.38 × 61,990.02
  4. Step 4: Simplify right side
    100,242.68x = 8,572,127,191.90
  5. Step 5: Solve for x
    x = 8,572,127,191.90/100,242.68
  6. Step 6: Final answer
    x = 85,513.75

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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.