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Finding the Fourth Proportional to 134,750.30, 202,125.45 and 82,262.30

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Solution

The fourth proportional to 134,750.30, 202,125.45 and 82,262.30 is: 123,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,750.30 : 202,125.45 = 82,262.30 : x
  2. Step 2: Convert to fraction form
    134,750.30/202,125.45 = 82,262.30/x
  3. Step 3: Cross multiply
    134,750.30x = 202,125.45 × 82,262.30
  4. Step 4: Simplify right side
    134,750.30x = 16,627,304,405.54
  5. Step 5: Solve for x
    x = 16,627,304,405.54/134,750.30
  6. Step 6: Final answer
    x = 123,393.45

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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.