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Finding the Fourth Proportional to 106,494.91, 146,962.16 and 58,750.27

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Solution

The fourth proportional to 106,494.91, 146,962.16 and 58,750.27 is: 81,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,494.91 : 146,962.16 = 58,750.27 : x
  2. Step 2: Convert to fraction form
    106,494.91/146,962.16 = 58,750.27/x
  3. Step 3: Cross multiply
    106,494.91x = 146,962.16 × 58,750.27
  4. Step 4: Simplify right side
    106,494.91x = 8,634,066,286.03
  5. Step 5: Solve for x
    x = 8,634,066,286.03/106,494.91
  6. Step 6: Final answer
    x = 81,074.92

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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.