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Finding the Fourth Proportional to 198,614.16, 297,962.28 and 65,502.54

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Solution

The fourth proportional to 198,614.16, 297,962.28 and 65,502.54 is: 98,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,614.16 : 297,962.28 = 65,502.54 : x
  2. Step 2: Convert to fraction form
    198,614.16/297,962.28 = 65,502.54/x
  3. Step 3: Cross multiply
    198,614.16x = 297,962.28 × 65,502.54
  4. Step 4: Simplify right side
    198,614.16x = 19,517,286,164.19
  5. Step 5: Solve for x
    x = 19,517,286,164.19/198,614.16
  6. Step 6: Final answer
    x = 98,267.34

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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.