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Finding the Fourth Proportional to 159,244.56, 238,685.76 and 83,225.90

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Solution

The fourth proportional to 159,244.56, 238,685.76 and 83,225.90 is: 124,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,244.56 : 238,685.76 = 83,225.90 : x
  2. Step 2: Convert to fraction form
    159,244.56/238,685.76 = 83,225.90/x
  3. Step 3: Cross multiply
    159,244.56x = 238,685.76 × 83,225.90
  4. Step 4: Simplify right side
    159,244.56x = 19,864,837,789.90
  5. Step 5: Solve for x
    x = 19,864,837,789.90/159,244.56
  6. Step 6: Final answer
    x = 124,744.22

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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.