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Finding the Fourth Proportional to 142,412.80, 196,529.16 and 80,318.36

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Solution

The fourth proportional to 142,412.80, 196,529.16 and 80,318.36 is: 110,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,412.80 : 196,529.16 = 80,318.36 : x
  2. Step 2: Convert to fraction form
    142,412.80/196,529.16 = 80,318.36/x
  3. Step 3: Cross multiply
    142,412.80x = 196,529.16 × 80,318.36
  4. Step 4: Simplify right side
    142,412.80x = 15,784,899,823.38
  5. Step 5: Solve for x
    x = 15,784,899,823.38/142,412.80
  6. Step 6: Final answer
    x = 110,839.05

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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.