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Finding the Fourth Proportional to 159,451.89, 239,207.22 and 65,964.93

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Solution

The fourth proportional to 159,451.89, 239,207.22 and 65,964.93 is: 98,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,451.89 : 239,207.22 = 65,964.93 : x
  2. Step 2: Convert to fraction form
    159,451.89/239,207.22 = 65,964.93/x
  3. Step 3: Cross multiply
    159,451.89x = 239,207.22 × 65,964.93
  4. Step 4: Simplify right side
    159,451.89x = 15,779,287,522.79
  5. Step 5: Solve for x
    x = 15,779,287,522.79/159,451.89
  6. Step 6: Final answer
    x = 98,959.55

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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.