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Finding the Fourth Proportional to 95,119.92, 142,733.16 and 65,561.40

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Solution

The fourth proportional to 95,119.92, 142,733.16 and 65,561.40 is: 98,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,119.92 : 142,733.16 = 65,561.40 : x
  2. Step 2: Convert to fraction form
    95,119.92/142,733.16 = 65,561.40/x
  3. Step 3: Cross multiply
    95,119.92x = 142,733.16 × 65,561.40
  4. Step 4: Simplify right side
    95,119.92x = 9,357,785,796.02
  5. Step 5: Solve for x
    x = 9,357,785,796.02/95,119.92
  6. Step 6: Final answer
    x = 98,378.82

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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.