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Finding the Fourth Proportional to 188,018.61, 282,101.76 and 82,763.79

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Solution

The fourth proportional to 188,018.61, 282,101.76 and 82,763.79 is: 124,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,018.61 : 282,101.76 = 82,763.79 : x
  2. Step 2: Convert to fraction form
    188,018.61/282,101.76 = 82,763.79/x
  3. Step 3: Cross multiply
    188,018.61x = 282,101.76 × 82,763.79
  4. Step 4: Simplify right side
    188,018.61x = 23,347,810,823.27
  5. Step 5: Solve for x
    x = 23,347,810,823.27/188,018.61
  6. Step 6: Final answer
    x = 124,178.19

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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.