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Finding the Fourth Proportional to 159,644.40, 239,447.40 and 66,140.40

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Solution

The fourth proportional to 159,644.40, 239,447.40 and 66,140.40 is: 99,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,644.40 : 239,447.40 = 66,140.40 : x
  2. Step 2: Convert to fraction form
    159,644.40/239,447.40 = 66,140.40/x
  3. Step 3: Cross multiply
    159,644.40x = 239,447.40 × 66,140.40
  4. Step 4: Simplify right side
    159,644.40x = 15,837,146,814.96
  5. Step 5: Solve for x
    x = 15,837,146,814.96/159,644.40
  6. Step 6: Final answer
    x = 99,202.65

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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.