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Finding the Fourth Proportional to 187,836.94, 259,214.37 and 101,798.38

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Solution

The fourth proportional to 187,836.94, 259,214.37 and 101,798.38 is: 140,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,836.94 : 259,214.37 = 101,798.38 : x
  2. Step 2: Convert to fraction form
    187,836.94/259,214.37 = 101,798.38/x
  3. Step 3: Cross multiply
    187,836.94x = 259,214.37 × 101,798.38
  4. Step 4: Simplify right side
    187,836.94x = 26,387,602,938.72
  5. Step 5: Solve for x
    x = 26,387,602,938.72/187,836.94
  6. Step 6: Final answer
    x = 140,481.44

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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.