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Finding the Fourth Proportional to 130,062.96, 194,943.84 and 59,794.80

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Solution

The fourth proportional to 130,062.96, 194,943.84 and 59,794.80 is: 89,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,062.96 : 194,943.84 = 59,794.80 : x
  2. Step 2: Convert to fraction form
    130,062.96/194,943.84 = 59,794.80/x
  3. Step 3: Cross multiply
    130,062.96x = 194,943.84 × 59,794.80
  4. Step 4: Simplify right side
    130,062.96x = 11,656,627,924.03
  5. Step 5: Solve for x
    x = 11,656,627,924.03/130,062.96
  6. Step 6: Final answer
    x = 89,622.96

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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.