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Finding the Fourth Proportional to 141,011.68, 194,595.60 and 87,286

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Solution

The fourth proportional to 141,011.68, 194,595.60 and 87,286 is: 120,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,011.68 : 194,595.60 = 87,286 : x
  2. Step 2: Convert to fraction form
    141,011.68/194,595.60 = 87,286/x
  3. Step 3: Cross multiply
    141,011.68x = 194,595.60 × 87,286
  4. Step 4: Simplify right side
    141,011.68x = 16,985,471,541.60
  5. Step 5: Solve for x
    x = 16,985,471,541.60/141,011.68
  6. Step 6: Final answer
    x = 120,454.36

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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.