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Finding the Fourth Proportional to 202,349.40, 303,281.10 and 83,959.80

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Solution

The fourth proportional to 202,349.40, 303,281.10 and 83,959.80 is: 125,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,349.40 : 303,281.10 = 83,959.80 : x
  2. Step 2: Convert to fraction form
    202,349.40/303,281.10 = 83,959.80/x
  3. Step 3: Cross multiply
    202,349.40x = 303,281.10 × 83,959.80
  4. Step 4: Simplify right side
    202,349.40x = 25,463,420,499.78
  5. Step 5: Solve for x
    x = 25,463,420,499.78/202,349.40
  6. Step 6: Final answer
    x = 125,838.87

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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.