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Finding the Fourth Proportional to 143,412.66, 197,914.30 and 78,884.64

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Solution

The fourth proportional to 143,412.66, 197,914.30 and 78,884.64 is: 108,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,412.66 : 197,914.30 = 78,884.64 : x
  2. Step 2: Convert to fraction form
    143,412.66/197,914.30 = 78,884.64/x
  3. Step 3: Cross multiply
    143,412.66x = 197,914.30 × 78,884.64
  4. Step 4: Simplify right side
    143,412.66x = 15,612,398,306.35
  5. Step 5: Solve for x
    x = 15,612,398,306.35/143,412.66
  6. Step 6: Final answer
    x = 108,863.46

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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.