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Finding the Fourth Proportional to 205,434.30, 308,151.47 and 134,416.61

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Solution

The fourth proportional to 205,434.30, 308,151.47 and 134,416.61 is: 201,624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,434.30 : 308,151.47 = 134,416.61 : x
  2. Step 2: Convert to fraction form
    205,434.30/308,151.47 = 134,416.61/x
  3. Step 3: Cross multiply
    205,434.30x = 308,151.47 × 134,416.61
  4. Step 4: Simplify right side
    205,434.30x = 41,420,675,963.92
  5. Step 5: Solve for x
    x = 41,420,675,963.92/205,434.30
  6. Step 6: Final answer
    x = 201,624.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.