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Finding the Fourth Proportional to 284,102.82, 426,103.74 and 94,544.46

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Solution

The fourth proportional to 284,102.82, 426,103.74 and 94,544.46 is: 141,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,102.82 : 426,103.74 = 94,544.46 : x
  2. Step 2: Convert to fraction form
    284,102.82/426,103.74 = 94,544.46/x
  3. Step 3: Cross multiply
    284,102.82x = 426,103.74 × 94,544.46
  4. Step 4: Simplify right side
    284,102.82x = 40,285,748,002.28
  5. Step 5: Solve for x
    x = 40,285,748,002.28/284,102.82
  6. Step 6: Final answer
    x = 141,799.89

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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.