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Finding the Fourth Proportional to 134,782.80, 202,174.20 and 114,046.80

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Solution

The fourth proportional to 134,782.80, 202,174.20 and 114,046.80 is: 171,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,782.80 : 202,174.20 = 114,046.80 : x
  2. Step 2: Convert to fraction form
    134,782.80/202,174.20 = 114,046.80/x
  3. Step 3: Cross multiply
    134,782.80x = 202,174.20 × 114,046.80
  4. Step 4: Simplify right side
    134,782.80x = 23,057,320,552.56
  5. Step 5: Solve for x
    x = 23,057,320,552.56/134,782.80
  6. Step 6: Final answer
    x = 171,070.20

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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.