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Finding the Fourth Proportional to 102,341.08, 141,221.10 and 75,498.48

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Solution

The fourth proportional to 102,341.08, 141,221.10 and 75,498.48 is: 104,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,341.08 : 141,221.10 = 75,498.48 : x
  2. Step 2: Convert to fraction form
    102,341.08/141,221.10 = 75,498.48/x
  3. Step 3: Cross multiply
    102,341.08x = 141,221.10 × 75,498.48
  4. Step 4: Simplify right side
    102,341.08x = 10,661,978,393.93
  5. Step 5: Solve for x
    x = 10,661,978,393.93/102,341.08
  6. Step 6: Final answer
    x = 104,180.83

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