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Finding the Fourth Proportional to 130,031.68, 194,940 and 59,851.84

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Solution

The fourth proportional to 130,031.68, 194,940 and 59,851.84 is: 89,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,031.68 : 194,940 = 59,851.84 : x
  2. Step 2: Convert to fraction form
    130,031.68/194,940 = 59,851.84/x
  3. Step 3: Cross multiply
    130,031.68x = 194,940 × 59,851.84
  4. Step 4: Simplify right side
    130,031.68x = 11,667,517,689.60
  5. Step 5: Solve for x
    x = 11,667,517,689.60/130,031.68
  6. Step 6: Final answer
    x = 89,728.27

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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.