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Finding the Fourth Proportional to 187,964.66, 282,020.70 and 82,709.76

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Solution

The fourth proportional to 187,964.66, 282,020.70 and 82,709.76 is: 124,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,964.66 : 282,020.70 = 82,709.76 : x
  2. Step 2: Convert to fraction form
    187,964.66/282,020.70 = 82,709.76/x
  3. Step 3: Cross multiply
    187,964.66x = 282,020.70 × 82,709.76
  4. Step 4: Simplify right side
    187,964.66x = 23,325,864,412.03
  5. Step 5: Solve for x
    x = 23,325,864,412.03/187,964.66
  6. Step 6: Final answer
    x = 124,097.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.