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Finding the Fourth Proportional to 203,351.84, 280,381.52 and 175,008.80

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Solution

The fourth proportional to 203,351.84, 280,381.52 and 175,008.80 is: 241,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,351.84 : 280,381.52 = 175,008.80 : x
  2. Step 2: Convert to fraction form
    203,351.84/280,381.52 = 175,008.80/x
  3. Step 3: Cross multiply
    203,351.84x = 280,381.52 × 175,008.80
  4. Step 4: Simplify right side
    203,351.84x = 49,069,233,357.38
  5. Step 5: Solve for x
    x = 49,069,233,357.38/203,351.84
  6. Step 6: Final answer
    x = 241,302.14

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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.