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Finding the Fourth Proportional to 202,431.10, 303,733.05 and 97,195.90

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Solution

The fourth proportional to 202,431.10, 303,733.05 and 97,195.90 is: 145,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,431.10 : 303,733.05 = 97,195.90 : x
  2. Step 2: Convert to fraction form
    202,431.10/303,733.05 = 97,195.90/x
  3. Step 3: Cross multiply
    202,431.10x = 303,733.05 × 97,195.90
  4. Step 4: Simplify right side
    202,431.10x = 29,521,607,154.50
  5. Step 5: Solve for x
    x = 29,521,607,154.50/202,431.10
  6. Step 6: Final answer
    x = 145,835.33

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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.