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Finding the Fourth Proportional to 310,053.60, 465,080.40 and 132,578.55

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Solution

The fourth proportional to 310,053.60, 465,080.40 and 132,578.55 is: 198,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,053.60 : 465,080.40 = 132,578.55 : x
  2. Step 2: Convert to fraction form
    310,053.60/465,080.40 = 132,578.55/x
  3. Step 3: Cross multiply
    310,053.60x = 465,080.40 × 132,578.55
  4. Step 4: Simplify right side
    310,053.60x = 61,659,685,065.42
  5. Step 5: Solve for x
    x = 61,659,685,065.42/310,053.60
  6. Step 6: Final answer
    x = 198,867.83

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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.