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Finding the Fourth Proportional to 187,670.58, 258,979.83 and 102,785.82

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Solution

The fourth proportional to 187,670.58, 258,979.83 and 102,785.82 is: 141,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,670.58 : 258,979.83 = 102,785.82 : x
  2. Step 2: Convert to fraction form
    187,670.58/258,979.83 = 102,785.82/x
  3. Step 3: Cross multiply
    187,670.58x = 258,979.83 × 102,785.82
  4. Step 4: Simplify right side
    187,670.58x = 26,619,454,190.01
  5. Step 5: Solve for x
    x = 26,619,454,190.01/187,670.58
  6. Step 6: Final answer
    x = 141,841.38

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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.