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Finding the Fourth Proportional to 107,530, 148,384.38 and 59,781.64

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Solution

The fourth proportional to 107,530, 148,384.38 and 59,781.64 is: 82,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,530 : 148,384.38 = 59,781.64 : x
  2. Step 2: Convert to fraction form
    107,530/148,384.38 = 59,781.64/x
  3. Step 3: Cross multiply
    107,530x = 148,384.38 × 59,781.64
  4. Step 4: Simplify right side
    107,530x = 8,870,661,586.78
  5. Step 5: Solve for x
    x = 8,870,661,586.78/107,530
  6. Step 6: Final answer
    x = 82,494.76

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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.