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Finding the Fourth Proportional to 263,052.56, 363,011.82 and 149,876.12

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Solution

The fourth proportional to 263,052.56, 363,011.82 and 149,876.12 is: 206,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,052.56 : 363,011.82 = 149,876.12 : x
  2. Step 2: Convert to fraction form
    263,052.56/363,011.82 = 149,876.12/x
  3. Step 3: Cross multiply
    263,052.56x = 363,011.82 × 149,876.12
  4. Step 4: Simplify right side
    263,052.56x = 54,406,803,095.74
  5. Step 5: Solve for x
    x = 54,406,803,095.74/263,052.56
  6. Step 6: Final answer
    x = 206,828.64

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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.