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Finding the Fourth Proportional to 85,830.20, 128,453.70 and 75,332.60

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Solution

The fourth proportional to 85,830.20, 128,453.70 and 75,332.60 is: 112,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,830.20 : 128,453.70 = 75,332.60 : x
  2. Step 2: Convert to fraction form
    85,830.20/128,453.70 = 75,332.60/x
  3. Step 3: Cross multiply
    85,830.20x = 128,453.70 × 75,332.60
  4. Step 4: Simplify right side
    85,830.20x = 9,676,751,200.62
  5. Step 5: Solve for x
    x = 9,676,751,200.62/85,830.20
  6. Step 6: Final answer
    x = 112,742.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.