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Finding the Fourth Proportional to 202,306.84, 279,314.94 and 181,049.56

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Solution

The fourth proportional to 202,306.84, 279,314.94 and 181,049.56 is: 249,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,306.84 : 279,314.94 = 181,049.56 : x
  2. Step 2: Convert to fraction form
    202,306.84/279,314.94 = 181,049.56/x
  3. Step 3: Cross multiply
    202,306.84x = 279,314.94 × 181,049.56
  4. Step 4: Simplify right side
    202,306.84x = 50,569,846,988.43
  5. Step 5: Solve for x
    x = 50,569,846,988.43/202,306.84
  6. Step 6: Final answer
    x = 249,966.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.