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Finding the Fourth Proportional to 278,286.24, 417,341.76 and 91,254.24

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Solution

The fourth proportional to 278,286.24, 417,341.76 and 91,254.24 is: 136,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,286.24 : 417,341.76 = 91,254.24 : x
  2. Step 2: Convert to fraction form
    278,286.24/417,341.76 = 91,254.24/x
  3. Step 3: Cross multiply
    278,286.24x = 417,341.76 × 91,254.24
  4. Step 4: Simplify right side
    278,286.24x = 38,084,205,129.06
  5. Step 5: Solve for x
    x = 38,084,205,129.06/278,286.24
  6. Step 6: Final answer
    x = 136,852.63

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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.