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Finding the Fourth Proportional to 182,097.72, 251,251.56 and 110,475.90

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Solution

The fourth proportional to 182,097.72, 251,251.56 and 110,475.90 is: 152,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,097.72 : 251,251.56 = 110,475.90 : x
  2. Step 2: Convert to fraction form
    182,097.72/251,251.56 = 110,475.90/x
  3. Step 3: Cross multiply
    182,097.72x = 251,251.56 × 110,475.90
  4. Step 4: Simplify right side
    182,097.72x = 27,757,242,217.40
  5. Step 5: Solve for x
    x = 27,757,242,217.40/182,097.72
  6. Step 6: Final answer
    x = 152,430.48

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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.