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Finding the Fourth Proportional to 132,047.44, 198,103.92 and 65,518.96

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Solution

The fourth proportional to 132,047.44, 198,103.92 and 65,518.96 is: 98,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,047.44 : 198,103.92 = 65,518.96 : x
  2. Step 2: Convert to fraction form
    132,047.44/198,103.92 = 65,518.96/x
  3. Step 3: Cross multiply
    132,047.44x = 198,103.92 × 65,518.96
  4. Step 4: Simplify right side
    132,047.44x = 12,979,562,810.32
  5. Step 5: Solve for x
    x = 12,979,562,810.32/132,047.44
  6. Step 6: Final answer
    x = 98,294.69

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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.