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Finding the Fourth Proportional to 118,138.24, 177,061.44 and 101,380.48

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Solution

The fourth proportional to 118,138.24, 177,061.44 and 101,380.48 is: 151,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,138.24 : 177,061.44 = 101,380.48 : x
  2. Step 2: Convert to fraction form
    118,138.24/177,061.44 = 101,380.48/x
  3. Step 3: Cross multiply
    118,138.24x = 177,061.44 × 101,380.48
  4. Step 4: Simplify right side
    118,138.24x = 17,950,573,776.69
  5. Step 5: Solve for x
    x = 17,950,573,776.69/118,138.24
  6. Step 6: Final answer
    x = 151,945.50

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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.