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Finding the Fourth Proportional to 113,693.76, 170,598.24 and 76,680

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Solution

The fourth proportional to 113,693.76, 170,598.24 and 76,680 is: 115,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,693.76 : 170,598.24 = 76,680 : x
  2. Step 2: Convert to fraction form
    113,693.76/170,598.24 = 76,680/x
  3. Step 3: Cross multiply
    113,693.76x = 170,598.24 × 76,680
  4. Step 4: Simplify right side
    113,693.76x = 13,081,473,043.20
  5. Step 5: Solve for x
    x = 13,081,473,043.20/113,693.76
  6. Step 6: Final answer
    x = 115,058.85

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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.