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Finding the Fourth Proportional to 153,989.60, 231,008.70 and 48,819.20

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Solution

The fourth proportional to 153,989.60, 231,008.70 and 48,819.20 is: 73,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,989.60 : 231,008.70 = 48,819.20 : x
  2. Step 2: Convert to fraction form
    153,989.60/231,008.70 = 48,819.20/x
  3. Step 3: Cross multiply
    153,989.60x = 231,008.70 × 48,819.20
  4. Step 4: Simplify right side
    153,989.60x = 11,277,659,927.04
  5. Step 5: Solve for x
    x = 11,277,659,927.04/153,989.60
  6. Step 6: Final answer
    x = 73,236.50

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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.