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Finding the Fourth Proportional to 106,506.28, 146,985.78 and 61,198.92

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Solution

The fourth proportional to 106,506.28, 146,985.78 and 61,198.92 is: 84,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,506.28 : 146,985.78 = 61,198.92 : x
  2. Step 2: Convert to fraction form
    106,506.28/146,985.78 = 61,198.92/x
  3. Step 3: Cross multiply
    106,506.28x = 146,985.78 × 61,198.92
  4. Step 4: Simplify right side
    106,506.28x = 8,995,370,991.36
  5. Step 5: Solve for x
    x = 8,995,370,991.36/106,506.28
  6. Step 6: Final answer
    x = 84,458.60

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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.