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Finding the Fourth Proportional to 227,853.84, 341,788.96 and 85,686.08

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Solution

The fourth proportional to 227,853.84, 341,788.96 and 85,686.08 is: 128,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,853.84 : 341,788.96 = 85,686.08 : x
  2. Step 2: Convert to fraction form
    227,853.84/341,788.96 = 85,686.08/x
  3. Step 3: Cross multiply
    227,853.84x = 341,788.96 × 85,686.08
  4. Step 4: Simplify right side
    227,853.84x = 29,286,556,169.68
  5. Step 5: Solve for x
    x = 29,286,556,169.68/227,853.84
  6. Step 6: Final answer
    x = 128,532.20

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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.