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Finding the Fourth Proportional to 141,029.92, 194,630.16 and 77,367.84

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Solution

The fourth proportional to 141,029.92, 194,630.16 and 77,367.84 is: 106,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,029.92 : 194,630.16 = 77,367.84 : x
  2. Step 2: Convert to fraction form
    141,029.92/194,630.16 = 77,367.84/x
  3. Step 3: Cross multiply
    141,029.92x = 194,630.16 × 77,367.84
  4. Step 4: Simplify right side
    141,029.92x = 15,058,115,078.05
  5. Step 5: Solve for x
    x = 15,058,115,078.05/141,029.92
  6. Step 6: Final answer
    x = 106,772.49

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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.