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Finding the Fourth Proportional to 278,906.80, 418,538.16 and 101,396.80

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Solution

The fourth proportional to 278,906.80, 418,538.16 and 101,396.80 is: 152,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,906.80 : 418,538.16 = 101,396.80 : x
  2. Step 2: Convert to fraction form
    278,906.80/418,538.16 = 101,396.80/x
  3. Step 3: Cross multiply
    278,906.80x = 418,538.16 × 101,396.80
  4. Step 4: Simplify right side
    278,906.80x = 42,438,430,101.89
  5. Step 5: Solve for x
    x = 42,438,430,101.89/278,906.80
  6. Step 6: Final answer
    x = 152,159.90

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1.5x scale

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.