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Finding the Fourth Proportional to 170,562.24, 255,843.36 and 45,900

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Solution

The fourth proportional to 170,562.24, 255,843.36 and 45,900 is: 68,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,562.24 : 255,843.36 = 45,900 : x
  2. Step 2: Convert to fraction form
    170,562.24/255,843.36 = 45,900/x
  3. Step 3: Cross multiply
    170,562.24x = 255,843.36 × 45,900
  4. Step 4: Simplify right side
    170,562.24x = 11,743,210,224
  5. Step 5: Solve for x
    x = 11,743,210,224/170,562.24
  6. Step 6: Final answer
    x = 68,850

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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.