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Finding the Fourth Proportional to 284,251.44, 426,234.52 and 94,645

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Solution

The fourth proportional to 284,251.44, 426,234.52 and 94,645 is: 141,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,251.44 : 426,234.52 = 94,645 : x
  2. Step 2: Convert to fraction form
    284,251.44/426,234.52 = 94,645/x
  3. Step 3: Cross multiply
    284,251.44x = 426,234.52 × 94,645
  4. Step 4: Simplify right side
    284,251.44x = 40,340,966,145.40
  5. Step 5: Solve for x
    x = 40,340,966,145.40/284,251.44
  6. Step 6: Final answer
    x = 141,920.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.