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Finding the Fourth Proportional to 106,274, 146,658.12 and 58,527.24

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Solution

The fourth proportional to 106,274, 146,658.12 and 58,527.24 is: 80,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,274 : 146,658.12 = 58,527.24 : x
  2. Step 2: Convert to fraction form
    106,274/146,658.12 = 58,527.24/x
  3. Step 3: Cross multiply
    106,274x = 146,658.12 × 58,527.24
  4. Step 4: Simplify right side
    106,274x = 8,583,494,987.19
  5. Step 5: Solve for x
    x = 8,583,494,987.19/106,274
  6. Step 6: Final answer
    x = 80,767.59

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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.