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Finding the Fourth Proportional to 175,864.40, 263,299.80 and 136,876.40

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Solution

The fourth proportional to 175,864.40, 263,299.80 and 136,876.40 is: 204,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,864.40 : 263,299.80 = 136,876.40 : x
  2. Step 2: Convert to fraction form
    175,864.40/263,299.80 = 136,876.40/x
  3. Step 3: Cross multiply
    175,864.40x = 263,299.80 × 136,876.40
  4. Step 4: Simplify right side
    175,864.40x = 36,039,528,744.72
  5. Step 5: Solve for x
    x = 36,039,528,744.72/175,864.40
  6. Step 6: Final answer
    x = 204,927.94

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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.