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Finding the Fourth Proportional to 278,901.60, 418,524 and 110,393.16

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Solution

The fourth proportional to 278,901.60, 418,524 and 110,393.16 is: 165,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,901.60 : 418,524 = 110,393.16 : x
  2. Step 2: Convert to fraction form
    278,901.60/418,524 = 110,393.16/x
  3. Step 3: Cross multiply
    278,901.60x = 418,524 × 110,393.16
  4. Step 4: Simplify right side
    278,901.60x = 46,202,186,895.84
  5. Step 5: Solve for x
    x = 46,202,186,895.84/278,901.60
  6. Step 6: Final answer
    x = 165,657.66

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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.