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Finding the Fourth Proportional to 106,013.97, 146,301 and 60,691.77

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Solution

The fourth proportional to 106,013.97, 146,301 and 60,691.77 is: 83,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,013.97 : 146,301 = 60,691.77 : x
  2. Step 2: Convert to fraction form
    106,013.97/146,301 = 60,691.77/x
  3. Step 3: Cross multiply
    106,013.97x = 146,301 × 60,691.77
  4. Step 4: Simplify right side
    106,013.97x = 8,879,266,642.77
  5. Step 5: Solve for x
    x = 8,879,266,642.77/106,013.97
  6. Step 6: Final answer
    x = 83,755.63

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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.