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Finding the Fourth Proportional to 148,177, 204,482.16 and 84,515.84

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Solution

The fourth proportional to 148,177, 204,482.16 and 84,515.84 is: 116,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,177 : 204,482.16 = 84,515.84 : x
  2. Step 2: Convert to fraction form
    148,177/204,482.16 = 84,515.84/x
  3. Step 3: Cross multiply
    148,177x = 204,482.16 × 84,515.84
  4. Step 4: Simplify right side
    148,177x = 17,281,981,517.41
  5. Step 5: Solve for x
    x = 17,281,981,517.41/148,177
  6. Step 6: Final answer
    x = 116,630.66

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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.