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Finding the Fourth Proportional to 202,454.10, 303,767.55 and 97,218.90

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Solution

The fourth proportional to 202,454.10, 303,767.55 and 97,218.90 is: 145,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,454.10 : 303,767.55 = 97,218.90 : x
  2. Step 2: Convert to fraction form
    202,454.10/303,767.55 = 97,218.90/x
  3. Step 3: Cross multiply
    202,454.10x = 303,767.55 × 97,218.90
  4. Step 4: Simplify right side
    202,454.10x = 29,531,947,066.70
  5. Step 5: Solve for x
    x = 29,531,947,066.70/202,454.10
  6. Step 6: Final answer
    x = 145,869.84

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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.