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Finding the Fourth Proportional to 275,514.76, 413,272.14 and 88,657.48

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Solution

The fourth proportional to 275,514.76, 413,272.14 and 88,657.48 is: 132,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,514.76 : 413,272.14 = 88,657.48 : x
  2. Step 2: Convert to fraction form
    275,514.76/413,272.14 = 88,657.48/x
  3. Step 3: Cross multiply
    275,514.76x = 413,272.14 × 88,657.48
  4. Step 4: Simplify right side
    275,514.76x = 36,639,666,486.61
  5. Step 5: Solve for x
    x = 36,639,666,486.61/275,514.76
  6. Step 6: Final answer
    x = 132,986.22

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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.