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Finding the Fourth Proportional to 132,062.63, 198,123.10 and 48,956.63

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Solution

The fourth proportional to 132,062.63, 198,123.10 and 48,956.63 is: 73,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,062.63 : 198,123.10 = 48,956.63 : x
  2. Step 2: Convert to fraction form
    132,062.63/198,123.10 = 48,956.63/x
  3. Step 3: Cross multiply
    132,062.63x = 198,123.10 × 48,956.63
  4. Step 4: Simplify right side
    132,062.63x = 9,699,438,188.15
  5. Step 5: Solve for x
    x = 9,699,438,188.15/132,062.63
  6. Step 6: Final answer
    x = 73,445.75

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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.