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Finding the Fourth Proportional to 142,322.38, 196,403.36 and 78,660.34

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Solution

The fourth proportional to 142,322.38, 196,403.36 and 78,660.34 is: 108,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,322.38 : 196,403.36 = 78,660.34 : x
  2. Step 2: Convert to fraction form
    142,322.38/196,403.36 = 78,660.34/x
  3. Step 3: Cross multiply
    142,322.38x = 196,403.36 × 78,660.34
  4. Step 4: Simplify right side
    142,322.38x = 15,449,155,074.74
  5. Step 5: Solve for x
    x = 15,449,155,074.74/142,322.38
  6. Step 6: Final answer
    x = 108,550.43

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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.