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Finding the Fourth Proportional to 106,410.81, 146,846.93 and 61,091.73

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Solution

The fourth proportional to 106,410.81, 146,846.93 and 61,091.73 is: 84,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,410.81 : 146,846.93 = 61,091.73 : x
  2. Step 2: Convert to fraction form
    106,410.81/146,846.93 = 61,091.73/x
  3. Step 3: Cross multiply
    106,410.81x = 146,846.93 × 61,091.73
  4. Step 4: Simplify right side
    106,410.81x = 8,971,132,693.43
  5. Step 5: Solve for x
    x = 8,971,132,693.43/106,410.81
  6. Step 6: Final answer
    x = 84,306.59

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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.