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Finding the Fourth Proportional to 275,475.76, 413,070.27 and 97,956.97

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Solution

The fourth proportional to 275,475.76, 413,070.27 and 97,956.97 is: 146,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,475.76 : 413,070.27 = 97,956.97 : x
  2. Step 2: Convert to fraction form
    275,475.76/413,070.27 = 97,956.97/x
  3. Step 3: Cross multiply
    275,475.76x = 413,070.27 × 97,956.97
  4. Step 4: Simplify right side
    275,475.76x = 40,463,112,046.28
  5. Step 5: Solve for x
    x = 40,463,112,046.28/275,475.76
  6. Step 6: Final answer
    x = 146,884.47

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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.