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Finding the Fourth Proportional to 106,092.70, 146,412.56 and 58,347.78

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Solution

The fourth proportional to 106,092.70, 146,412.56 and 58,347.78 is: 80,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,092.70 : 146,412.56 = 58,347.78 : x
  2. Step 2: Convert to fraction form
    106,092.70/146,412.56 = 58,347.78/x
  3. Step 3: Cross multiply
    106,092.70x = 146,412.56 × 58,347.78
  4. Step 4: Simplify right side
    106,092.70x = 8,542,847,840.12
  5. Step 5: Solve for x
    x = 8,542,847,840.12/106,092.70
  6. Step 6: Final answer
    x = 80,522.48

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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.