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Finding the Fourth Proportional to 93,633.12, 140,371.92 and 65,472.68

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Solution

The fourth proportional to 93,633.12, 140,371.92 and 65,472.68 is: 98,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,633.12 : 140,371.92 = 65,472.68 : x
  2. Step 2: Convert to fraction form
    93,633.12/140,371.92 = 65,472.68/x
  3. Step 3: Cross multiply
    93,633.12x = 140,371.92 × 65,472.68
  4. Step 4: Simplify right side
    93,633.12x = 9,190,525,799.15
  5. Step 5: Solve for x
    x = 9,190,525,799.15/93,633.12
  6. Step 6: Final answer
    x = 98,154.65

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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.