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Finding the Fourth Proportional to 188,407.41, 282,611.11 and 88,494.31

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Solution

The fourth proportional to 188,407.41, 282,611.11 and 88,494.31 is: 132,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,407.41 : 282,611.11 = 88,494.31 : x
  2. Step 2: Convert to fraction form
    188,407.41/282,611.11 = 88,494.31/x
  3. Step 3: Cross multiply
    188,407.41x = 282,611.11 × 88,494.31
  4. Step 4: Simplify right side
    188,407.41x = 25,009,475,177.78
  5. Step 5: Solve for x
    x = 25,009,475,177.78/188,407.41
  6. Step 6: Final answer
    x = 132,741.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.