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Finding the Fourth Proportional to 107,866.24, 148,785.93 and 71,566.90

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Solution

The fourth proportional to 107,866.24, 148,785.93 and 71,566.90 is: 98,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,866.24 : 148,785.93 = 71,566.90 : x
  2. Step 2: Convert to fraction form
    107,866.24/148,785.93 = 71,566.90/x
  3. Step 3: Cross multiply
    107,866.24x = 148,785.93 × 71,566.90
  4. Step 4: Simplify right side
    107,866.24x = 10,648,147,773.72
  5. Step 5: Solve for x
    x = 10,648,147,773.72/107,866.24
  6. Step 6: Final answer
    x = 98,716.22

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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.