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Finding the Fourth Proportional to 105,043.48, 144,945.66 and 60,331.48

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Solution

The fourth proportional to 105,043.48, 144,945.66 and 60,331.48 is: 83,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,043.48 : 144,945.66 = 60,331.48 : x
  2. Step 2: Convert to fraction form
    105,043.48/144,945.66 = 60,331.48/x
  3. Step 3: Cross multiply
    105,043.48x = 144,945.66 × 60,331.48
  4. Step 4: Simplify right side
    105,043.48x = 8,744,786,187.38
  5. Step 5: Solve for x
    x = 8,744,786,187.38/105,043.48
  6. Step 6: Final answer
    x = 83,249.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.