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Finding the Fourth Proportional to 132,902.30, 198,506.30 and 120,232.62

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Solution

The fourth proportional to 132,902.30, 198,506.30 and 120,232.62 is: 179,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,902.30 : 198,506.30 = 120,232.62 : x
  2. Step 2: Convert to fraction form
    132,902.30/198,506.30 = 120,232.62/x
  3. Step 3: Cross multiply
    132,902.30x = 198,506.30 × 120,232.62
  4. Step 4: Simplify right side
    132,902.30x = 23,866,931,934.34
  5. Step 5: Solve for x
    x = 23,866,931,934.34/132,902.30
  6. Step 6: Final answer
    x = 179,582.53

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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.