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Finding the Fourth Proportional to 205,392.82, 308,128.11 and 94,584.82

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Solution

The fourth proportional to 205,392.82, 308,128.11 and 94,584.82 is: 141,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,392.82 : 308,128.11 = 94,584.82 : x
  2. Step 2: Convert to fraction form
    205,392.82/308,128.11 = 94,584.82/x
  3. Step 3: Cross multiply
    205,392.82x = 308,128.11 × 94,584.82
  4. Step 4: Simplify right side
    205,392.82x = 29,144,239,807.73
  5. Step 5: Solve for x
    x = 29,144,239,807.73/205,392.82
  6. Step 6: Final answer
    x = 141,895.13

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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.