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Finding the Fourth Proportional to 278,082.48, 417,184.47 and 100,570.98

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Solution

The fourth proportional to 278,082.48, 417,184.47 and 100,570.98 is: 150,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,082.48 : 417,184.47 = 100,570.98 : x
  2. Step 2: Convert to fraction form
    278,082.48/417,184.47 = 100,570.98/x
  3. Step 3: Cross multiply
    278,082.48x = 417,184.47 × 100,570.98
  4. Step 4: Simplify right side
    278,082.48x = 41,956,650,988.68
  5. Step 5: Solve for x
    x = 41,956,650,988.68/278,082.48
  6. Step 6: Final answer
    x = 150,878.44

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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.