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Finding the Fourth Proportional to 141,651.05, 195,471.02 and 77,976.54

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Solution

The fourth proportional to 141,651.05, 195,471.02 and 77,976.54 is: 107,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,651.05 : 195,471.02 = 77,976.54 : x
  2. Step 2: Convert to fraction form
    141,651.05/195,471.02 = 77,976.54/x
  3. Step 3: Cross multiply
    141,651.05x = 195,471.02 × 77,976.54
  4. Step 4: Simplify right side
    141,651.05x = 15,242,154,004.81
  5. Step 5: Solve for x
    x = 15,242,154,004.81/141,651.05
  6. Step 6: Final answer
    x = 107,603.54

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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.