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Finding the Fourth Proportional to 187,785.84, 259,144.13 and 101,747.01

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Solution

The fourth proportional to 187,785.84, 259,144.13 and 101,747.01 is: 140,410.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,785.84 : 259,144.13 = 101,747.01 : x
  2. Step 2: Convert to fraction form
    187,785.84/259,144.13 = 101,747.01/x
  3. Step 3: Cross multiply
    187,785.84x = 259,144.13 × 101,747.01
  4. Step 4: Simplify right side
    187,785.84x = 26,367,140,311.54
  5. Step 5: Solve for x
    x = 26,367,140,311.54/187,785.84
  6. Step 6: Final answer
    x = 140,410.69

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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.