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Finding the Fourth Proportional to 234,920.40, 352,265.70 and 163,877

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Solution

The fourth proportional to 234,920.40, 352,265.70 and 163,877 is: 245,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,920.40 : 352,265.70 = 163,877 : x
  2. Step 2: Convert to fraction form
    234,920.40/352,265.70 = 163,877/x
  3. Step 3: Cross multiply
    234,920.40x = 352,265.70 × 163,877
  4. Step 4: Simplify right side
    234,920.40x = 57,728,246,118.90
  5. Step 5: Solve for x
    x = 57,728,246,118.90/234,920.40
  6. Step 6: Final answer
    x = 245,735.35

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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.