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Finding the Fourth Proportional to 137,678.85, 190,190.39 and 106,251.66

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Solution

The fourth proportional to 137,678.85, 190,190.39 and 106,251.66 is: 146,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,678.85 : 190,190.39 = 106,251.66 : x
  2. Step 2: Convert to fraction form
    137,678.85/190,190.39 = 106,251.66/x
  3. Step 3: Cross multiply
    137,678.85x = 190,190.39 × 106,251.66
  4. Step 4: Simplify right side
    137,678.85x = 20,208,044,122.29
  5. Step 5: Solve for x
    x = 20,208,044,122.29/137,678.85
  6. Step 6: Final answer
    x = 146,776.68

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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.