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Finding the Fourth Proportional to 202,394.10, 303,677.55 and 97,158.90

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Solution

The fourth proportional to 202,394.10, 303,677.55 and 97,158.90 is: 145,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,394.10 : 303,677.55 = 97,158.90 : x
  2. Step 2: Convert to fraction form
    202,394.10/303,677.55 = 97,158.90/x
  3. Step 3: Cross multiply
    202,394.10x = 303,677.55 × 97,158.90
  4. Step 4: Simplify right side
    202,394.10x = 29,504,976,712.70
  5. Step 5: Solve for x
    x = 29,504,976,712.70/202,394.10
  6. Step 6: Final answer
    x = 145,779.83

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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.