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Finding the Fourth Proportional to 278,581.17, 418,037.76 and 101,102.01

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Solution

The fourth proportional to 278,581.17, 418,037.76 and 101,102.01 is: 151,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,581.17 : 418,037.76 = 101,102.01 : x
  2. Step 2: Convert to fraction form
    278,581.17/418,037.76 = 101,102.01/x
  3. Step 3: Cross multiply
    278,581.17x = 418,037.76 × 101,102.01
  4. Step 4: Simplify right side
    278,581.17x = 42,264,457,286.39
  5. Step 5: Solve for x
    x = 42,264,457,286.39/278,581.17
  6. Step 6: Final answer
    x = 151,713.26

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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.