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Finding the Fourth Proportional to 202,197.96, 303,298.17 and 89,851.77

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Solution

The fourth proportional to 202,197.96, 303,298.17 and 89,851.77 is: 134,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,197.96 : 303,298.17 = 89,851.77 : x
  2. Step 2: Convert to fraction form
    202,197.96/303,298.17 = 89,851.77/x
  3. Step 3: Cross multiply
    202,197.96x = 303,298.17 × 89,851.77
  4. Step 4: Simplify right side
    202,197.96x = 27,251,877,412.26
  5. Step 5: Solve for x
    x = 27,251,877,412.26/202,197.96
  6. Step 6: Final answer
    x = 134,778.20

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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.