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Finding the Fourth Proportional to 165,627.40, 248,222.40 and 146,819.20

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Solution

The fourth proportional to 165,627.40, 248,222.40 and 146,819.20 is: 220,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,627.40 : 248,222.40 = 146,819.20 : x
  2. Step 2: Convert to fraction form
    165,627.40/248,222.40 = 146,819.20/x
  3. Step 3: Cross multiply
    165,627.40x = 248,222.40 × 146,819.20
  4. Step 4: Simplify right side
    165,627.40x = 36,443,814,190.08
  5. Step 5: Solve for x
    x = 36,443,814,190.08/165,627.40
  6. Step 6: Final answer
    x = 220,034.93

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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.