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Finding the Fourth Proportional to 165,233.85, 247,679.91 and 65,256.50

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Solution

The fourth proportional to 165,233.85, 247,679.91 and 65,256.50 is: 97,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,233.85 : 247,679.91 = 65,256.50 : x
  2. Step 2: Convert to fraction form
    165,233.85/247,679.91 = 65,256.50/x
  3. Step 3: Cross multiply
    165,233.85x = 247,679.91 × 65,256.50
  4. Step 4: Simplify right side
    165,233.85x = 16,162,722,808.52
  5. Step 5: Solve for x
    x = 16,162,722,808.52/165,233.85
  6. Step 6: Final answer
    x = 97,817.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.