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Finding the Fourth Proportional to 202,462.60, 303,780.30 and 97,227.40

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Solution

The fourth proportional to 202,462.60, 303,780.30 and 97,227.40 is: 145,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,462.60 : 303,780.30 = 97,227.40 : x
  2. Step 2: Convert to fraction form
    202,462.60/303,780.30 = 97,227.40/x
  3. Step 3: Cross multiply
    202,462.60x = 303,780.30 × 97,227.40
  4. Step 4: Simplify right side
    202,462.60x = 29,535,768,740.22
  5. Step 5: Solve for x
    x = 29,535,768,740.22/202,462.60
  6. Step 6: Final answer
    x = 145,882.59

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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.