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Finding the Fourth Proportional to 237,406.32, 327,624.84 and 146,760.03

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Solution

The fourth proportional to 237,406.32, 327,624.84 and 146,760.03 is: 202,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,406.32 : 327,624.84 = 146,760.03 : x
  2. Step 2: Convert to fraction form
    237,406.32/327,624.84 = 146,760.03/x
  3. Step 3: Cross multiply
    237,406.32x = 327,624.84 × 146,760.03
  4. Step 4: Simplify right side
    237,406.32x = 48,082,231,347.15
  5. Step 5: Solve for x
    x = 48,082,231,347.15/237,406.32
  6. Step 6: Final answer
    x = 202,531.39

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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.