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Finding the Fourth Proportional to 121,438.76, 180,937.17 and 114,648.13

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Solution

The fourth proportional to 121,438.76, 180,937.17 and 114,648.13 is: 170,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,438.76 : 180,937.17 = 114,648.13 : x
  2. Step 2: Convert to fraction form
    121,438.76/180,937.17 = 114,648.13/x
  3. Step 3: Cross multiply
    121,438.76x = 180,937.17 × 114,648.13
  4. Step 4: Simplify right side
    121,438.76x = 20,744,107,283.31
  5. Step 5: Solve for x
    x = 20,744,107,283.31/121,438.76
  6. Step 6: Final answer
    x = 170,819.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.