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Finding the Fourth Proportional to 202,196.29, 303,333.30 and 77,527.57

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Solution

The fourth proportional to 202,196.29, 303,333.30 and 77,527.57 is: 116,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,196.29 : 303,333.30 = 77,527.57 : x
  2. Step 2: Convert to fraction form
    202,196.29/303,333.30 = 77,527.57/x
  3. Step 3: Cross multiply
    202,196.29x = 303,333.30 × 77,527.57
  4. Step 4: Simplify right side
    202,196.29x = 23,516,693,649.08
  5. Step 5: Solve for x
    x = 23,516,693,649.08/202,196.29
  6. Step 6: Final answer
    x = 116,306.26

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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.