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Finding the Fourth Proportional to 159,455.30, 238,722.15 and 97,247.30

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Solution

The fourth proportional to 159,455.30, 238,722.15 and 97,247.30 is: 145,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,455.30 : 238,722.15 = 97,247.30 : x
  2. Step 2: Convert to fraction form
    159,455.30/238,722.15 = 97,247.30/x
  3. Step 3: Cross multiply
    159,455.30x = 238,722.15 × 97,247.30
  4. Step 4: Simplify right side
    159,455.30x = 23,215,084,537.70
  5. Step 5: Solve for x
    x = 23,215,084,537.70/159,455.30
  6. Step 6: Final answer
    x = 145,589.92

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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.