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Finding the Fourth Proportional to 119,026.53, 178,586.28 and 52,419.86

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Solution

The fourth proportional to 119,026.53, 178,586.28 and 52,419.86 is: 78,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,026.53 : 178,586.28 = 52,419.86 : x
  2. Step 2: Convert to fraction form
    119,026.53/178,586.28 = 52,419.86/x
  3. Step 3: Cross multiply
    119,026.53x = 178,586.28 × 52,419.86
  4. Step 4: Simplify right side
    119,026.53x = 9,361,466,902.59
  5. Step 5: Solve for x
    x = 9,361,466,902.59/119,026.53
  6. Step 6: Final answer
    x = 78,650.25

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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.