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Finding the Fourth Proportional to 230,392.17, 345,536.42 and 82,648.17

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Solution

The fourth proportional to 230,392.17, 345,536.42 and 82,648.17 is: 123,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,392.17 : 345,536.42 = 82,648.17 : x
  2. Step 2: Convert to fraction form
    230,392.17/345,536.42 = 82,648.17/x
  3. Step 3: Cross multiply
    230,392.17x = 345,536.42 × 82,648.17
  4. Step 4: Simplify right side
    230,392.17x = 28,557,952,368.11
  5. Step 5: Solve for x
    x = 28,557,952,368.11/230,392.17
  6. Step 6: Final answer
    x = 123,953.66

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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.