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Finding the Fourth Proportional to 119,839.68, 179,760.24 and 53,264.16

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Solution

The fourth proportional to 119,839.68, 179,760.24 and 53,264.16 is: 79,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,839.68 : 179,760.24 = 53,264.16 : x
  2. Step 2: Convert to fraction form
    119,839.68/179,760.24 = 53,264.16/x
  3. Step 3: Cross multiply
    119,839.68x = 179,760.24 × 53,264.16
  4. Step 4: Simplify right side
    119,839.68x = 9,574,778,185.00
  5. Step 5: Solve for x
    x = 9,574,778,185.00/119,839.68
  6. Step 6: Final answer
    x = 79,896.56

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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.