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Finding the Fourth Proportional to 140,698.92, 194,169.39 and 77,037.15

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Solution

The fourth proportional to 140,698.92, 194,169.39 and 77,037.15 is: 106,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,698.92 : 194,169.39 = 77,037.15 : x
  2. Step 2: Convert to fraction form
    140,698.92/194,169.39 = 77,037.15/x
  3. Step 3: Cross multiply
    140,698.92x = 194,169.39 × 77,037.15
  4. Step 4: Simplify right side
    140,698.92x = 14,958,256,422.84
  5. Step 5: Solve for x
    x = 14,958,256,422.84/140,698.92
  6. Step 6: Final answer
    x = 106,313.94

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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.