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Finding the Fourth Proportional to 278,045.18, 416,778.82 and 118,223.68

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Solution

The fourth proportional to 278,045.18, 416,778.82 and 118,223.68 is: 177,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,045.18 : 416,778.82 = 118,223.68 : x
  2. Step 2: Convert to fraction form
    278,045.18/416,778.82 = 118,223.68/x
  3. Step 3: Cross multiply
    278,045.18x = 416,778.82 × 118,223.68
  4. Step 4: Simplify right side
    278,045.18x = 49,273,124,118.22
  5. Step 5: Solve for x
    x = 49,273,124,118.22/278,045.18
  6. Step 6: Final answer
    x = 177,212.65

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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.