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Finding the Fourth Proportional to 142,013.84, 196,002.08 and 84,660.20

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Solution

The fourth proportional to 142,013.84, 196,002.08 and 84,660.20 is: 116,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,013.84 : 196,002.08 = 84,660.20 : x
  2. Step 2: Convert to fraction form
    142,013.84/196,002.08 = 84,660.20/x
  3. Step 3: Cross multiply
    142,013.84x = 196,002.08 × 84,660.20
  4. Step 4: Simplify right side
    142,013.84x = 16,593,575,293.22
  5. Step 5: Solve for x
    x = 16,593,575,293.22/142,013.84
  6. Step 6: Final answer
    x = 116,844.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.