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Finding the Fourth Proportional to 278,858.32, 418,102.56 and 101,344.24

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Solution

The fourth proportional to 278,858.32, 418,102.56 and 101,344.24 is: 151,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,858.32 : 418,102.56 = 101,344.24 : x
  2. Step 2: Convert to fraction form
    278,858.32/418,102.56 = 101,344.24/x
  3. Step 3: Cross multiply
    278,858.32x = 418,102.56 × 101,344.24
  4. Step 4: Simplify right side
    278,858.32x = 42,372,286,185.25
  5. Step 5: Solve for x
    x = 42,372,286,185.25/278,858.32
  6. Step 6: Final answer
    x = 151,949.16

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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.