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Finding the Fourth Proportional to 97,363.65, 146,100.15 and 41,194.20

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Solution

The fourth proportional to 97,363.65, 146,100.15 and 41,194.20 is: 61,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,363.65 : 146,100.15 = 41,194.20 : x
  2. Step 2: Convert to fraction form
    97,363.65/146,100.15 = 41,194.20/x
  3. Step 3: Cross multiply
    97,363.65x = 146,100.15 × 41,194.20
  4. Step 4: Simplify right side
    97,363.65x = 6,018,478,799.13
  5. Step 5: Solve for x
    x = 6,018,478,799.13/97,363.65
  6. Step 6: Final answer
    x = 61,814.43

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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.