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Finding the Fourth Proportional to 203,290.68, 280,808.64 and 156,126.78

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Solution

The fourth proportional to 203,290.68, 280,808.64 and 156,126.78 is: 215,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,290.68 : 280,808.64 = 156,126.78 : x
  2. Step 2: Convert to fraction form
    203,290.68/280,808.64 = 156,126.78/x
  3. Step 3: Cross multiply
    203,290.68x = 280,808.64 × 156,126.78
  4. Step 4: Simplify right side
    203,290.68x = 43,841,748,759.38
  5. Step 5: Solve for x
    x = 43,841,748,759.38/203,290.68
  6. Step 6: Final answer
    x = 215,660.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.