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Finding the Fourth Proportional to 114,010.78, 171,053.06 and 54,838.73

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Solution

The fourth proportional to 114,010.78, 171,053.06 and 54,838.73 is: 82,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,010.78 : 171,053.06 = 54,838.73 : x
  2. Step 2: Convert to fraction form
    114,010.78/171,053.06 = 54,838.73/x
  3. Step 3: Cross multiply
    114,010.78x = 171,053.06 × 54,838.73
  4. Step 4: Simplify right side
    114,010.78x = 9,380,332,573.01
  5. Step 5: Solve for x
    x = 9,380,332,573.01/114,010.78
  6. Step 6: Final answer
    x = 82,275.84

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1.5x scale

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.