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Finding the Fourth Proportional to 275,396.76, 413,095.14 and 88,539.48

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Solution

The fourth proportional to 275,396.76, 413,095.14 and 88,539.48 is: 132,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,396.76 : 413,095.14 = 88,539.48 : x
  2. Step 2: Convert to fraction form
    275,396.76/413,095.14 = 88,539.48/x
  3. Step 3: Cross multiply
    275,396.76x = 413,095.14 × 88,539.48
  4. Step 4: Simplify right side
    275,396.76x = 36,575,228,886.13
  5. Step 5: Solve for x
    x = 36,575,228,886.13/275,396.76
  6. Step 6: Final answer
    x = 132,809.22

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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.