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Finding the Fourth Proportional to 275,475.26, 413,069.52 and 97,956.47

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Solution

The fourth proportional to 275,475.26, 413,069.52 and 97,956.47 is: 146,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,475.26 : 413,069.52 = 97,956.47 : x
  2. Step 2: Convert to fraction form
    275,475.26/413,069.52 = 97,956.47/x
  3. Step 3: Cross multiply
    275,475.26x = 413,069.52 × 97,956.47
  4. Step 4: Simplify right side
    275,475.26x = 40,462,832,682.58
  5. Step 5: Solve for x
    x = 40,462,832,682.58/275,475.26
  6. Step 6: Final answer
    x = 146,883.73

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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.