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Finding the Fourth Proportional to 141,118.92, 194,746.41 and 77,462.64

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Solution

The fourth proportional to 141,118.92, 194,746.41 and 77,462.64 is: 106,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,118.92 : 194,746.41 = 77,462.64 : x
  2. Step 2: Convert to fraction form
    141,118.92/194,746.41 = 77,462.64/x
  3. Step 3: Cross multiply
    141,118.92x = 194,746.41 × 77,462.64
  4. Step 4: Simplify right side
    141,118.92x = 15,085,571,049.12
  5. Step 5: Solve for x
    x = 15,085,571,049.12/141,118.92
  6. Step 6: Final answer
    x = 106,899.71

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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.