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Finding the Fourth Proportional to 85,402.60, 127,812.30 and 78,404.20

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Solution

The fourth proportional to 85,402.60, 127,812.30 and 78,404.20 is: 117,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,402.60 : 127,812.30 = 78,404.20 : x
  2. Step 2: Convert to fraction form
    85,402.60/127,812.30 = 78,404.20/x
  3. Step 3: Cross multiply
    85,402.60x = 127,812.30 × 78,404.20
  4. Step 4: Simplify right side
    85,402.60x = 10,021,021,131.66
  5. Step 5: Solve for x
    x = 10,021,021,131.66/85,402.60
  6. Step 6: Final answer
    x = 117,338.60

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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.