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Finding the Fourth Proportional to 106,393.24, 146,823.06 and 57,994.92

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Solution

The fourth proportional to 106,393.24, 146,823.06 and 57,994.92 is: 80,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,393.24 : 146,823.06 = 57,994.92 : x
  2. Step 2: Convert to fraction form
    106,393.24/146,823.06 = 57,994.92/x
  3. Step 3: Cross multiply
    106,393.24x = 146,823.06 × 57,994.92
  4. Step 4: Simplify right side
    106,393.24x = 8,514,991,618.86
  5. Step 5: Solve for x
    x = 8,514,991,618.86/106,393.24
  6. Step 6: Final answer
    x = 80,033.20

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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.