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Finding the Fourth Proportional to 268,233.90, 401,767.65 and 163,257.90

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Solution

The fourth proportional to 268,233.90, 401,767.65 and 163,257.90 is: 244,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,233.90 : 401,767.65 = 163,257.90 : x
  2. Step 2: Convert to fraction form
    268,233.90/401,767.65 = 163,257.90/x
  3. Step 3: Cross multiply
    268,233.90x = 401,767.65 × 163,257.90
  4. Step 4: Simplify right side
    268,233.90x = 65,591,742,826.94
  5. Step 5: Solve for x
    x = 65,591,742,826.94/268,233.90
  6. Step 6: Final answer
    x = 244,531.89

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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.