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Finding the Fourth Proportional to 198,233.76, 297,288 and 65,092.08

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Solution

The fourth proportional to 198,233.76, 297,288 and 65,092.08 is: 97,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,233.76 : 297,288 = 65,092.08 : x
  2. Step 2: Convert to fraction form
    198,233.76/297,288 = 65,092.08/x
  3. Step 3: Cross multiply
    198,233.76x = 297,288 × 65,092.08
  4. Step 4: Simplify right side
    198,233.76x = 19,351,094,279.04
  5. Step 5: Solve for x
    x = 19,351,094,279.04/198,233.76
  6. Step 6: Final answer
    x = 97,617.55

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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.