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Finding the Fourth Proportional to 106,392.76, 146,820.20 and 57,995.20

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Solution

The fourth proportional to 106,392.76, 146,820.20 and 57,995.20 is: 80,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,392.76 : 146,820.20 = 57,995.20 : x
  2. Step 2: Convert to fraction form
    106,392.76/146,820.20 = 57,995.20/x
  3. Step 3: Cross multiply
    106,392.76x = 146,820.20 × 57,995.20
  4. Step 4: Simplify right side
    106,392.76x = 8,514,866,863.04
  5. Step 5: Solve for x
    x = 8,514,866,863.04/106,392.76
  6. Step 6: Final answer
    x = 80,032.39

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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.