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Finding the Fourth Proportional to 234,707.90, 323,758.13 and 149,824.95

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Solution

The fourth proportional to 234,707.90, 323,758.13 and 149,824.95 is: 206,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,707.90 : 323,758.13 = 149,824.95 : x
  2. Step 2: Convert to fraction form
    234,707.90/323,758.13 = 149,824.95/x
  3. Step 3: Cross multiply
    234,707.90x = 323,758.13 × 149,824.95
  4. Step 4: Simplify right side
    234,707.90x = 48,507,044,890.22
  5. Step 5: Solve for x
    x = 48,507,044,890.22/234,707.90
  6. Step 6: Final answer
    x = 206,669.85

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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.