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Finding the Fourth Proportional to 142,553.44, 196,730.58 and 82,133.38

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Solution

The fourth proportional to 142,553.44, 196,730.58 and 82,133.38 is: 113,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,553.44 : 196,730.58 = 82,133.38 : x
  2. Step 2: Convert to fraction form
    142,553.44/196,730.58 = 82,133.38/x
  3. Step 3: Cross multiply
    142,553.44x = 196,730.58 × 82,133.38
  4. Step 4: Simplify right side
    142,553.44x = 16,158,147,484.76
  5. Step 5: Solve for x
    x = 16,158,147,484.76/142,553.44
  6. Step 6: Final answer
    x = 113,348.00

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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.