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Finding the Fourth Proportional to 165,737.20, 248,605.80 and 54,929.20

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Solution

The fourth proportional to 165,737.20, 248,605.80 and 54,929.20 is: 82,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,737.20 : 248,605.80 = 54,929.20 : x
  2. Step 2: Convert to fraction form
    165,737.20/248,605.80 = 54,929.20/x
  3. Step 3: Cross multiply
    165,737.20x = 248,605.80 × 54,929.20
  4. Step 4: Simplify right side
    165,737.20x = 13,655,717,709.36
  5. Step 5: Solve for x
    x = 13,655,717,709.36/165,737.20
  6. Step 6: Final answer
    x = 82,393.80

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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.