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Finding the Fourth Proportional to 169,380.54, 233,158.47 and 146,399.90

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Solution

The fourth proportional to 169,380.54, 233,158.47 and 146,399.90 is: 201,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,380.54 : 233,158.47 = 146,399.90 : x
  2. Step 2: Convert to fraction form
    169,380.54/233,158.47 = 146,399.90/x
  3. Step 3: Cross multiply
    169,380.54x = 233,158.47 × 146,399.90
  4. Step 4: Simplify right side
    169,380.54x = 34,134,375,526.36
  5. Step 5: Solve for x
    x = 34,134,375,526.36/169,380.54
  6. Step 6: Final answer
    x = 201,524.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.