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Finding the Fourth Proportional to 153,944.70, 230,938.65 and 48,752.70

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Solution

The fourth proportional to 153,944.70, 230,938.65 and 48,752.70 is: 73,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,944.70 : 230,938.65 = 48,752.70 : x
  2. Step 2: Convert to fraction form
    153,944.70/230,938.65 = 48,752.70/x
  3. Step 3: Cross multiply
    153,944.70x = 230,938.65 × 48,752.70
  4. Step 4: Simplify right side
    153,944.70x = 11,258,882,721.86
  5. Step 5: Solve for x
    x = 11,258,882,721.86/153,944.70
  6. Step 6: Final answer
    x = 73,135.89

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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.