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Finding the Fourth Proportional to 139,843.84, 192,977.64 and 76,177.84

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Solution

The fourth proportional to 139,843.84, 192,977.64 and 76,177.84 is: 105,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,843.84 : 192,977.64 = 76,177.84 : x
  2. Step 2: Convert to fraction form
    139,843.84/192,977.64 = 76,177.84/x
  3. Step 3: Cross multiply
    139,843.84x = 192,977.64 × 76,177.84
  4. Step 4: Simplify right side
    139,843.84x = 14,700,619,783.50
  5. Step 5: Solve for x
    x = 14,700,619,783.50/139,843.84
  6. Step 6: Final answer
    x = 105,121.68

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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.