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Finding the Fourth Proportional to 132,098.97, 197,893.44 and 78,833.51

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Solution

The fourth proportional to 132,098.97, 197,893.44 and 78,833.51 is: 118,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,098.97 : 197,893.44 = 78,833.51 : x
  2. Step 2: Convert to fraction form
    132,098.97/197,893.44 = 78,833.51/x
  3. Step 3: Cross multiply
    132,098.97x = 197,893.44 × 78,833.51
  4. Step 4: Simplify right side
    132,098.97x = 15,600,634,568.66
  5. Step 5: Solve for x
    x = 15,600,634,568.66/132,098.97
  6. Step 6: Final answer
    x = 118,098.08

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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.