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Finding the Fourth Proportional to 142,219.40, 196,261.54 and 78,561.64

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Solution

The fourth proportional to 142,219.40, 196,261.54 and 78,561.64 is: 108,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,219.40 : 196,261.54 = 78,561.64 : x
  2. Step 2: Convert to fraction form
    142,219.40/196,261.54 = 78,561.64/x
  3. Step 3: Cross multiply
    142,219.40x = 196,261.54 × 78,561.64
  4. Step 4: Simplify right side
    142,219.40x = 15,418,628,451.33
  5. Step 5: Solve for x
    x = 15,418,628,451.33/142,219.40
  6. Step 6: Final answer
    x = 108,414.38

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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.