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Finding the Fourth Proportional to 202,472.30, 303,708.45 and 136,117.10

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Solution

The fourth proportional to 202,472.30, 303,708.45 and 136,117.10 is: 204,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,472.30 : 303,708.45 = 136,117.10 : x
  2. Step 2: Convert to fraction form
    202,472.30/303,708.45 = 136,117.10/x
  3. Step 3: Cross multiply
    202,472.30x = 303,708.45 × 136,117.10
  4. Step 4: Simplify right side
    202,472.30x = 41,339,913,459.50
  5. Step 5: Solve for x
    x = 41,339,913,459.50/202,472.30
  6. Step 6: Final answer
    x = 204,175.65

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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.