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Finding the Fourth Proportional to 106,402.74, 146,834 and 58,005.20

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Solution

The fourth proportional to 106,402.74, 146,834 and 58,005.20 is: 80,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,402.74 : 146,834 = 58,005.20 : x
  2. Step 2: Convert to fraction form
    106,402.74/146,834 = 58,005.20/x
  3. Step 3: Cross multiply
    106,402.74x = 146,834 × 58,005.20
  4. Step 4: Simplify right side
    106,402.74x = 8,517,135,536.80
  5. Step 5: Solve for x
    x = 8,517,135,536.80/106,402.74
  6. Step 6: Final answer
    x = 80,046.20

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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.