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Finding the Fourth Proportional to 278,123.13, 416,937.30 and 100,590.70

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Solution

The fourth proportional to 278,123.13, 416,937.30 and 100,590.70 is: 150,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,123.13 : 416,937.30 = 100,590.70 : x
  2. Step 2: Convert to fraction form
    278,123.13/416,937.30 = 100,590.70/x
  3. Step 3: Cross multiply
    278,123.13x = 416,937.30 × 100,590.70
  4. Step 4: Simplify right side
    278,123.13x = 41,940,014,863.11
  5. Step 5: Solve for x
    x = 41,940,014,863.11/278,123.13
  6. Step 6: Final answer
    x = 150,796.57

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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.