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Finding the Fourth Proportional to 187,754.52, 259,097.22 and 102,869.76

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Solution

The fourth proportional to 187,754.52, 259,097.22 and 102,869.76 is: 141,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,754.52 : 259,097.22 = 102,869.76 : x
  2. Step 2: Convert to fraction form
    187,754.52/259,097.22 = 102,869.76/x
  3. Step 3: Cross multiply
    187,754.52x = 259,097.22 × 102,869.76
  4. Step 4: Simplify right side
    187,754.52x = 26,653,268,838.07
  5. Step 5: Solve for x
    x = 26,653,268,838.07/187,754.52
  6. Step 6: Final answer
    x = 141,958.07

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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.