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Finding the Fourth Proportional to 153,944.70, 231,154.65 and 83,960.70

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Solution

The fourth proportional to 153,944.70, 231,154.65 and 83,960.70 is: 126,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,944.70 : 231,154.65 = 83,960.70 : x
  2. Step 2: Convert to fraction form
    153,944.70/231,154.65 = 83,960.70/x
  3. Step 3: Cross multiply
    153,944.70x = 231,154.65 × 83,960.70
  4. Step 4: Simplify right side
    153,944.70x = 19,407,906,222.26
  5. Step 5: Solve for x
    x = 19,407,906,222.26/153,944.70
  6. Step 6: Final answer
    x = 126,070.64

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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.