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Finding the Fourth Proportional to 132,753.18, 199,048.02 and 65,199.30

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Solution

The fourth proportional to 132,753.18, 199,048.02 and 65,199.30 is: 97,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,753.18 : 199,048.02 = 65,199.30 : x
  2. Step 2: Convert to fraction form
    132,753.18/199,048.02 = 65,199.30/x
  3. Step 3: Cross multiply
    132,753.18x = 199,048.02 × 65,199.30
  4. Step 4: Simplify right side
    132,753.18x = 12,977,791,570.39
  5. Step 5: Solve for x
    x = 12,977,791,570.39/132,753.18
  6. Step 6: Final answer
    x = 97,758.80

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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.