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Finding the Fourth Proportional to 140,027.52, 209,971.20 and 46,500.48

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Solution

The fourth proportional to 140,027.52, 209,971.20 and 46,500.48 is: 69,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,027.52 : 209,971.20 = 46,500.48 : x
  2. Step 2: Convert to fraction form
    140,027.52/209,971.20 = 46,500.48/x
  3. Step 3: Cross multiply
    140,027.52x = 209,971.20 × 46,500.48
  4. Step 4: Simplify right side
    140,027.52x = 9,763,761,586.18
  5. Step 5: Solve for x
    x = 9,763,761,586.18/140,027.52
  6. Step 6: Final answer
    x = 69,727.45

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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.