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Finding the Fourth Proportional to 187,980.58, 282,044.72 and 82,725.74

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Solution

The fourth proportional to 187,980.58, 282,044.72 and 82,725.74 is: 124,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,980.58 : 282,044.72 = 82,725.74 : x
  2. Step 2: Convert to fraction form
    187,980.58/282,044.72 = 82,725.74/x
  3. Step 3: Cross multiply
    187,980.58x = 282,044.72 × 82,725.74
  4. Step 4: Simplify right side
    187,980.58x = 23,332,358,175.09
  5. Step 5: Solve for x
    x = 23,332,358,175.09/187,980.58
  6. Step 6: Final answer
    x = 124,121.11

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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.