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Finding the Fourth Proportional to 137,493.90, 189,386.66 and 97,137.61

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Solution

The fourth proportional to 137,493.90, 189,386.66 and 97,137.61 is: 133,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,493.90 : 189,386.66 = 97,137.61 : x
  2. Step 2: Convert to fraction form
    137,493.90/189,386.66 = 97,137.61/x
  3. Step 3: Cross multiply
    137,493.90x = 189,386.66 × 97,137.61
  4. Step 4: Simplify right side
    137,493.90x = 18,396,567,287.66
  5. Step 5: Solve for x
    x = 18,396,567,287.66/137,493.90
  6. Step 6: Final answer
    x = 133,799.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.