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Finding the Fourth Proportional to 106,715, 160,048.20 and 40,162.16

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Solution

The fourth proportional to 106,715, 160,048.20 and 40,162.16 is: 60,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,715 : 160,048.20 = 40,162.16 : x
  2. Step 2: Convert to fraction form
    106,715/160,048.20 = 40,162.16/x
  3. Step 3: Cross multiply
    106,715x = 160,048.20 × 40,162.16
  4. Step 4: Simplify right side
    106,715x = 6,427,881,416.11
  5. Step 5: Solve for x
    x = 6,427,881,416.11/106,715
  6. Step 6: Final answer
    x = 60,234.09

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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.