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Finding the Fourth Proportional to 165,113.76, 227,857.86 and 93,507.72

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Solution

The fourth proportional to 165,113.76, 227,857.86 and 93,507.72 is: 129,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,113.76 : 227,857.86 = 93,507.72 : x
  2. Step 2: Convert to fraction form
    165,113.76/227,857.86 = 93,507.72/x
  3. Step 3: Cross multiply
    165,113.76x = 227,857.86 × 93,507.72
  4. Step 4: Simplify right side
    165,113.76x = 21,306,468,972.68
  5. Step 5: Solve for x
    x = 21,306,468,972.68/165,113.76
  6. Step 6: Final answer
    x = 129,041.15

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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.