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Finding the Fourth Proportional to 205,940.47, 307,658.35 and 133,301.66

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Solution

The fourth proportional to 205,940.47, 307,658.35 and 133,301.66 is: 199,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,940.47 : 307,658.35 = 133,301.66 : x
  2. Step 2: Convert to fraction form
    205,940.47/307,658.35 = 133,301.66/x
  3. Step 3: Cross multiply
    205,940.47x = 307,658.35 × 133,301.66
  4. Step 4: Simplify right side
    205,940.47x = 41,011,368,767.86
  5. Step 5: Solve for x
    x = 41,011,368,767.86/205,940.47
  6. Step 6: Final answer
    x = 199,141.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.