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Finding the Fourth Proportional to 234,856.80, 352,803.60 and 164,872.80

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Solution

The fourth proportional to 234,856.80, 352,803.60 and 164,872.80 is: 247,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,856.80 : 352,803.60 = 164,872.80 : x
  2. Step 2: Convert to fraction form
    234,856.80/352,803.60 = 164,872.80/x
  3. Step 3: Cross multiply
    234,856.80x = 352,803.60 × 164,872.80
  4. Step 4: Simplify right side
    234,856.80x = 58,167,717,382.08
  5. Step 5: Solve for x
    x = 58,167,717,382.08/234,856.80
  6. Step 6: Final answer
    x = 247,673.12

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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.