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Finding the Fourth Proportional to 278,041.80, 417,062.70 and 165,848.70

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Solution

The fourth proportional to 278,041.80, 417,062.70 and 165,848.70 is: 248,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,041.80 : 417,062.70 = 165,848.70 : x
  2. Step 2: Convert to fraction form
    278,041.80/417,062.70 = 165,848.70/x
  3. Step 3: Cross multiply
    278,041.80x = 417,062.70 × 165,848.70
  4. Step 4: Simplify right side
    278,041.80x = 69,169,306,613.49
  5. Step 5: Solve for x
    x = 69,169,306,613.49/278,041.80
  6. Step 6: Final answer
    x = 248,773.05

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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.