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Finding the Fourth Proportional to 106,291, 146,688.24 and 58,544.36

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Solution

The fourth proportional to 106,291, 146,688.24 and 58,544.36 is: 80,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,291 : 146,688.24 = 58,544.36 : x
  2. Step 2: Convert to fraction form
    106,291/146,688.24 = 58,544.36/x
  3. Step 3: Cross multiply
    106,291x = 146,688.24 × 58,544.36
  4. Step 4: Simplify right side
    106,291x = 8,587,769,130.33
  5. Step 5: Solve for x
    x = 8,587,769,130.33/106,291
  6. Step 6: Final answer
    x = 80,794.89

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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.