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Finding the Fourth Proportional to 167,356.53, 230,885.24 and 106,911.50

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Solution

The fourth proportional to 167,356.53, 230,885.24 and 106,911.50 is: 147,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,356.53 : 230,885.24 = 106,911.50 : x
  2. Step 2: Convert to fraction form
    167,356.53/230,885.24 = 106,911.50/x
  3. Step 3: Cross multiply
    167,356.53x = 230,885.24 × 106,911.50
  4. Step 4: Simplify right side
    167,356.53x = 24,684,285,647.28
  5. Step 5: Solve for x
    x = 24,684,285,647.28/167,356.53
  6. Step 6: Final answer
    x = 147,495.20

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Why These Related Problems?

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