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Finding the Fourth Proportional to 174,015.60, 261,023.40 and 85,442.10

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Solution

The fourth proportional to 174,015.60, 261,023.40 and 85,442.10 is: 128,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,015.60 : 261,023.40 = 85,442.10 : x
  2. Step 2: Convert to fraction form
    174,015.60/261,023.40 = 85,442.10/x
  3. Step 3: Cross multiply
    174,015.60x = 261,023.40 × 85,442.10
  4. Step 4: Simplify right side
    174,015.60x = 22,302,387,445.14
  5. Step 5: Solve for x
    x = 22,302,387,445.14/174,015.60
  6. Step 6: Final answer
    x = 128,163.15

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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.