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Finding the Fourth Proportional to 187,854.80, 259,249.60 and 102,975.44

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Solution

The fourth proportional to 187,854.80, 259,249.60 and 102,975.44 is: 142,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,854.80 : 259,249.60 = 102,975.44 : x
  2. Step 2: Convert to fraction form
    187,854.80/259,249.60 = 102,975.44/x
  3. Step 3: Cross multiply
    187,854.80x = 259,249.60 × 102,975.44
  4. Step 4: Simplify right side
    187,854.80x = 26,696,341,629.82
  5. Step 5: Solve for x
    x = 26,696,341,629.82/187,854.80
  6. Step 6: Final answer
    x = 142,111.58

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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.