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Finding the Fourth Proportional to 275,165.61, 412,789.42 and 97,657.75

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Solution

The fourth proportional to 275,165.61, 412,789.42 and 97,657.75 is: 146,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,165.61 : 412,789.42 = 97,657.75 : x
  2. Step 2: Convert to fraction form
    275,165.61/412,789.42 = 97,657.75/x
  3. Step 3: Cross multiply
    275,165.61x = 412,789.42 × 97,657.75
  4. Step 4: Simplify right side
    275,165.61x = 40,312,086,069.74
  5. Step 5: Solve for x
    x = 40,312,086,069.74/275,165.61
  6. Step 6: Final answer
    x = 146,501.18

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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.