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Finding the Fourth Proportional to 119,025.78, 178,585.16 and 52,419.11

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Solution

The fourth proportional to 119,025.78, 178,585.16 and 52,419.11 is: 78,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,025.78 : 178,585.16 = 52,419.11 : x
  2. Step 2: Convert to fraction form
    119,025.78/178,585.16 = 52,419.11/x
  3. Step 3: Cross multiply
    119,025.78x = 178,585.16 × 52,419.11
  4. Step 4: Simplify right side
    119,025.78x = 9,361,273,991.39
  5. Step 5: Solve for x
    x = 9,361,273,991.39/119,025.78
  6. Step 6: Final answer
    x = 78,649.13

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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.