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Finding the Fourth Proportional to 143,245.63, 197,667.38 and 82,820.15

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Solution

The fourth proportional to 143,245.63, 197,667.38 and 82,820.15 is: 114,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,245.63 : 197,667.38 = 82,820.15 : x
  2. Step 2: Convert to fraction form
    143,245.63/197,667.38 = 82,820.15/x
  3. Step 3: Cross multiply
    143,245.63x = 197,667.38 × 82,820.15
  4. Step 4: Simplify right side
    143,245.63x = 16,370,842,061.71
  5. Step 5: Solve for x
    x = 16,370,842,061.71/143,245.63
  6. Step 6: Final answer
    x = 114,285.11

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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.