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Finding the Fourth Proportional to 159,224.40, 238,806.88 and 64,429.76

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Solution

The fourth proportional to 159,224.40, 238,806.88 and 64,429.76 is: 96,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,224.40 : 238,806.88 = 64,429.76 : x
  2. Step 2: Convert to fraction form
    159,224.40/238,806.88 = 64,429.76/x
  3. Step 3: Cross multiply
    159,224.40x = 238,806.88 × 64,429.76
  4. Step 4: Simplify right side
    159,224.40x = 15,386,269,964.75
  5. Step 5: Solve for x
    x = 15,386,269,964.75/159,224.40
  6. Step 6: Final answer
    x = 96,632.61

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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.