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Finding the Fourth Proportional to 145,944.38, 201,403.60 and 78,876.38

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Solution

The fourth proportional to 145,944.38, 201,403.60 and 78,876.38 is: 108,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,944.38 : 201,403.60 = 78,876.38 : x
  2. Step 2: Convert to fraction form
    145,944.38/201,403.60 = 78,876.38/x
  3. Step 3: Cross multiply
    145,944.38x = 201,403.60 × 78,876.38
  4. Step 4: Simplify right side
    145,944.38x = 15,885,986,886.97
  5. Step 5: Solve for x
    x = 15,885,986,886.97/145,944.38
  6. Step 6: Final answer
    x = 108,849.60

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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.