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Finding the Fourth Proportional to 132,830.40, 199,375.20 and 66,345.60

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Solution

The fourth proportional to 132,830.40, 199,375.20 and 66,345.60 is: 99,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,830.40 : 199,375.20 = 66,345.60 : x
  2. Step 2: Convert to fraction form
    132,830.40/199,375.20 = 66,345.60/x
  3. Step 3: Cross multiply
    132,830.40x = 199,375.20 × 66,345.60
  4. Step 4: Simplify right side
    132,830.40x = 13,227,667,269.12
  5. Step 5: Solve for x
    x = 13,227,667,269.12/132,830.40
  6. Step 6: Final answer
    x = 99,583.13

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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.