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Finding the Fourth Proportional to 106,392.95, 146,821.38 and 57,993.99

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Solution

The fourth proportional to 106,392.95, 146,821.38 and 57,993.99 is: 80,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,392.95 : 146,821.38 = 57,993.99 : x
  2. Step 2: Convert to fraction form
    106,392.95/146,821.38 = 57,993.99/x
  3. Step 3: Cross multiply
    106,392.95x = 146,821.38 × 57,993.99
  4. Step 4: Simplify right side
    106,392.95x = 8,514,757,643.51
  5. Step 5: Solve for x
    x = 8,514,757,643.51/106,392.95
  6. Step 6: Final answer
    x = 80,031.22

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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.