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Finding the Fourth Proportional to 106,053.92, 146,299.08 and 65,754.80

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Solution

The fourth proportional to 106,053.92, 146,299.08 and 65,754.80 is: 90,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,053.92 : 146,299.08 = 65,754.80 : x
  2. Step 2: Convert to fraction form
    106,053.92/146,299.08 = 65,754.80/x
  3. Step 3: Cross multiply
    106,053.92x = 146,299.08 × 65,754.80
  4. Step 4: Simplify right side
    106,053.92x = 9,619,866,745.58
  5. Step 5: Solve for x
    x = 9,619,866,745.58/106,053.92
  6. Step 6: Final answer
    x = 90,707.32

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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.