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Finding the Fourth Proportional to 165,951.68, 229,010.88 and 90,500

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Solution

The fourth proportional to 165,951.68, 229,010.88 and 90,500 is: 124,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,951.68 : 229,010.88 = 90,500 : x
  2. Step 2: Convert to fraction form
    165,951.68/229,010.88 = 90,500/x
  3. Step 3: Cross multiply
    165,951.68x = 229,010.88 × 90,500
  4. Step 4: Simplify right side
    165,951.68x = 20,725,484,640
  5. Step 5: Solve for x
    x = 20,725,484,640/165,951.68
  6. Step 6: Final answer
    x = 124,888.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.