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Finding the Fourth Proportional to 106,091.97, 146,404 and 58,345.32

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Solution

The fourth proportional to 106,091.97, 146,404 and 58,345.32 is: 80,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,091.97 : 146,404 = 58,345.32 : x
  2. Step 2: Convert to fraction form
    106,091.97/146,404 = 58,345.32/x
  3. Step 3: Cross multiply
    106,091.97x = 146,404 × 58,345.32
  4. Step 4: Simplify right side
    106,091.97x = 8,541,988,229.28
  5. Step 5: Solve for x
    x = 8,541,988,229.28/106,091.97
  6. Step 6: Final answer
    x = 80,514.94

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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.