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Finding the Fourth Proportional to 106,405.78, 146,840.97 and 58,660.84

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Solution

The fourth proportional to 106,405.78, 146,840.97 and 58,660.84 is: 80,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,405.78 : 146,840.97 = 58,660.84 : x
  2. Step 2: Convert to fraction form
    106,405.78/146,840.97 = 58,660.84/x
  3. Step 3: Cross multiply
    106,405.78x = 146,840.97 × 58,660.84
  4. Step 4: Simplify right side
    106,405.78x = 8,613,814,646.61
  5. Step 5: Solve for x
    x = 8,613,814,646.61/106,405.78
  6. Step 6: Final answer
    x = 80,952.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.