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Finding the Fourth Proportional to 270,894.72, 406,380.08 and 113,087.28

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Solution

The fourth proportional to 270,894.72, 406,380.08 and 113,087.28 is: 169,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,894.72 : 406,380.08 = 113,087.28 : x
  2. Step 2: Convert to fraction form
    270,894.72/406,380.08 = 113,087.28/x
  3. Step 3: Cross multiply
    270,894.72x = 406,380.08 × 113,087.28
  4. Step 4: Simplify right side
    270,894.72x = 45,956,417,893.38
  5. Step 5: Solve for x
    x = 45,956,417,893.38/270,894.72
  6. Step 6: Final answer
    x = 169,646.78

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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.