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Finding the Fourth Proportional to 159,959.94, 239,731.76 and 65,079.52

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Solution

The fourth proportional to 159,959.94, 239,731.76 and 65,079.52 is: 97,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,959.94 : 239,731.76 = 65,079.52 : x
  2. Step 2: Convert to fraction form
    159,959.94/239,731.76 = 65,079.52/x
  3. Step 3: Cross multiply
    159,959.94x = 239,731.76 × 65,079.52
  4. Step 4: Simplify right side
    159,959.94x = 15,601,627,869.56
  5. Step 5: Solve for x
    x = 15,601,627,869.56/159,959.94
  6. Step 6: Final answer
    x = 97,534.59

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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.