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Finding the Fourth Proportional to 202,250.16, 303,296.39 and 75,821.48

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Solution

The fourth proportional to 202,250.16, 303,296.39 and 75,821.48 is: 113,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,250.16 : 303,296.39 = 75,821.48 : x
  2. Step 2: Convert to fraction form
    202,250.16/303,296.39 = 75,821.48/x
  3. Step 3: Cross multiply
    202,250.16x = 303,296.39 × 75,821.48
  4. Step 4: Simplify right side
    202,250.16x = 22,996,381,547.59
  5. Step 5: Solve for x
    x = 22,996,381,547.59/202,250.16
  6. Step 6: Final answer
    x = 113,702.66

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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.