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Finding the Fourth Proportional to 202,199.72, 303,300.78 and 89,853.52

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Solution

The fourth proportional to 202,199.72, 303,300.78 and 89,853.52 is: 134,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,199.72 : 303,300.78 = 89,853.52 : x
  2. Step 2: Convert to fraction form
    202,199.72/303,300.78 = 89,853.52/x
  3. Step 3: Cross multiply
    202,199.72x = 303,300.78 × 89,853.52
  4. Step 4: Simplify right side
    202,199.72x = 27,252,642,701.75
  5. Step 5: Solve for x
    x = 27,252,642,701.75/202,199.72
  6. Step 6: Final answer
    x = 134,780.81

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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.