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Finding the Fourth Proportional to 321,901.10, 482,851.65 and 202,150.70

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Solution

The fourth proportional to 321,901.10, 482,851.65 and 202,150.70 is: 303,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,901.10 : 482,851.65 = 202,150.70 : x
  2. Step 2: Convert to fraction form
    321,901.10/482,851.65 = 202,150.70/x
  3. Step 3: Cross multiply
    321,901.10x = 482,851.65 × 202,150.70
  4. Step 4: Simplify right side
    321,901.10x = 97,608,799,043.66
  5. Step 5: Solve for x
    x = 97,608,799,043.66/321,901.10
  6. Step 6: Final answer
    x = 303,226.05

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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.