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Finding the Fourth Proportional to 281,098.80, 421,502.40 and 103,514.40

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Solution

The fourth proportional to 281,098.80, 421,502.40 and 103,514.40 is: 155,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,098.80 : 421,502.40 = 103,514.40 : x
  2. Step 2: Convert to fraction form
    281,098.80/421,502.40 = 103,514.40/x
  3. Step 3: Cross multiply
    281,098.80x = 421,502.40 × 103,514.40
  4. Step 4: Simplify right side
    281,098.80x = 43,631,568,034.56
  5. Step 5: Solve for x
    x = 43,631,568,034.56/281,098.80
  6. Step 6: Final answer
    x = 155,217.91

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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.