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Finding the Fourth Proportional to 375,950.92, 564,074.08 and 165,441.23

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Solution

The fourth proportional to 375,950.92, 564,074.08 and 165,441.23 is: 248,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,950.92 : 564,074.08 = 165,441.23 : x
  2. Step 2: Convert to fraction form
    375,950.92/564,074.08 = 165,441.23/x
  3. Step 3: Cross multiply
    375,950.92x = 564,074.08 × 165,441.23
  4. Step 4: Simplify right side
    375,950.92x = 93,321,111,660.54
  5. Step 5: Solve for x
    x = 93,321,111,660.54/375,950.92
  6. Step 6: Final answer
    x = 248,226.85

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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.