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Finding the Fourth Proportional to 114,068.52, 170,679 and 71,751

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Solution

The fourth proportional to 114,068.52, 170,679 and 71,751 is: 107,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,068.52 : 170,679 = 71,751 : x
  2. Step 2: Convert to fraction form
    114,068.52/170,679 = 71,751/x
  3. Step 3: Cross multiply
    114,068.52x = 170,679 × 71,751
  4. Step 4: Simplify right side
    114,068.52x = 12,246,388,929
  5. Step 5: Solve for x
    x = 12,246,388,929/114,068.52
  6. Step 6: Final answer
    x = 107,359.94

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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.