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Finding the Fourth Proportional to 162,744, 244,116.05 and 78,488.48

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Solution

The fourth proportional to 162,744, 244,116.05 and 78,488.48 is: 117,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,744 : 244,116.05 = 78,488.48 : x
  2. Step 2: Convert to fraction form
    162,744/244,116.05 = 78,488.48/x
  3. Step 3: Cross multiply
    162,744x = 244,116.05 × 78,488.48
  4. Step 4: Simplify right side
    162,744x = 19,160,296,095.08
  5. Step 5: Solve for x
    x = 19,160,296,095.08/162,744
  6. Step 6: Final answer
    x = 117,732.73

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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.