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Finding the Fourth Proportional to 278,114.54, 417,150.84 and 88,567.25

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Solution

The fourth proportional to 278,114.54, 417,150.84 and 88,567.25 is: 132,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,114.54 : 417,150.84 = 88,567.25 : x
  2. Step 2: Convert to fraction form
    278,114.54/417,150.84 = 88,567.25/x
  3. Step 3: Cross multiply
    278,114.54x = 417,150.84 × 88,567.25
  4. Step 4: Simplify right side
    278,114.54x = 36,945,900,648.24
  5. Step 5: Solve for x
    x = 36,945,900,648.24/278,114.54
  6. Step 6: Final answer
    x = 132,844.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.