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Finding the Fourth Proportional to 153,930.60, 230,903.10 and 48,757.80

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Solution

The fourth proportional to 153,930.60, 230,903.10 and 48,757.80 is: 73,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,930.60 : 230,903.10 = 48,757.80 : x
  2. Step 2: Convert to fraction form
    153,930.60/230,903.10 = 48,757.80/x
  3. Step 3: Cross multiply
    153,930.60x = 230,903.10 × 48,757.80
  4. Step 4: Simplify right side
    153,930.60x = 11,258,327,169.18
  5. Step 5: Solve for x
    x = 11,258,327,169.18/153,930.60
  6. Step 6: Final answer
    x = 73,138.98

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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.