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Finding the Fourth Proportional to 202,264.65, 303,396.98 and 178,936.65

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Solution

The fourth proportional to 202,264.65, 303,396.98 and 178,936.65 is: 268,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,264.65 : 303,396.98 = 178,936.65 : x
  2. Step 2: Convert to fraction form
    202,264.65/303,396.98 = 178,936.65/x
  3. Step 3: Cross multiply
    202,264.65x = 303,396.98 × 178,936.65
  4. Step 4: Simplify right side
    202,264.65x = 54,288,838,326.63
  5. Step 5: Solve for x
    x = 54,288,838,326.63/202,264.65
  6. Step 6: Final answer
    x = 268,404.98

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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.