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Finding the Fourth Proportional to 202,208.46, 303,575.13 and 155,494.14

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Solution

The fourth proportional to 202,208.46, 303,575.13 and 155,494.14 is: 233,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208.46 : 303,575.13 = 155,494.14 : x
  2. Step 2: Convert to fraction form
    202,208.46/303,575.13 = 155,494.14/x
  3. Step 3: Cross multiply
    202,208.46x = 303,575.13 × 155,494.14
  4. Step 4: Simplify right side
    202,208.46x = 47,204,153,764.74
  5. Step 5: Solve for x
    x = 47,204,153,764.74/202,208.46
  6. Step 6: Final answer
    x = 233,443.02

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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.