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Finding the Fourth Proportional to 132,466.30, 198,699.45 and 117,951.10

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Solution

The fourth proportional to 132,466.30, 198,699.45 and 117,951.10 is: 176,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,466.30 : 198,699.45 = 117,951.10 : x
  2. Step 2: Convert to fraction form
    132,466.30/198,699.45 = 117,951.10/x
  3. Step 3: Cross multiply
    132,466.30x = 198,699.45 × 117,951.10
  4. Step 4: Simplify right side
    132,466.30x = 23,436,818,696.90
  5. Step 5: Solve for x
    x = 23,436,818,696.90/132,466.30
  6. Step 6: Final answer
    x = 176,926.65

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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.