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Finding the Fourth Proportional to 198,157.83, 297,174.30 and 65,007.06

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Solution

The fourth proportional to 198,157.83, 297,174.30 and 65,007.06 is: 97,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,157.83 : 297,174.30 = 65,007.06 : x
  2. Step 2: Convert to fraction form
    198,157.83/297,174.30 = 65,007.06/x
  3. Step 3: Cross multiply
    198,157.83x = 297,174.30 × 65,007.06
  4. Step 4: Simplify right side
    198,157.83x = 19,318,427,550.56
  5. Step 5: Solve for x
    x = 19,318,427,550.56/198,157.83
  6. Step 6: Final answer
    x = 97,490.10

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1.5x scale

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.