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Finding the Fourth Proportional to 278,188.32, 417,278.16 and 111,972

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Solution

The fourth proportional to 278,188.32, 417,278.16 and 111,972 is: 167,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,188.32 : 417,278.16 = 111,972 : x
  2. Step 2: Convert to fraction form
    278,188.32/417,278.16 = 111,972/x
  3. Step 3: Cross multiply
    278,188.32x = 417,278.16 × 111,972
  4. Step 4: Simplify right side
    278,188.32x = 46,723,470,131.52
  5. Step 5: Solve for x
    x = 46,723,470,131.52/278,188.32
  6. Step 6: Final answer
    x = 167,956.26

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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.