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Finding the Fourth Proportional to 136,561, 204,841.62 and 38,065

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Solution

The fourth proportional to 136,561, 204,841.62 and 38,065 is: 57,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,561 : 204,841.62 = 38,065 : x
  2. Step 2: Convert to fraction form
    136,561/204,841.62 = 38,065/x
  3. Step 3: Cross multiply
    136,561x = 204,841.62 × 38,065
  4. Step 4: Simplify right side
    136,561x = 7,797,296,265.30
  5. Step 5: Solve for x
    x = 7,797,296,265.30/136,561
  6. Step 6: Final answer
    x = 57,097.53

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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.