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Finding the Fourth Proportional to 284,257.51, 426,380.41 and 94,731.64

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Solution

The fourth proportional to 284,257.51, 426,380.41 and 94,731.64 is: 142,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,257.51 : 426,380.41 = 94,731.64 : x
  2. Step 2: Convert to fraction form
    284,257.51/426,380.41 = 94,731.64/x
  3. Step 3: Cross multiply
    284,257.51x = 426,380.41 × 94,731.64
  4. Step 4: Simplify right side
    284,257.51x = 40,391,715,503.17
  5. Step 5: Solve for x
    x = 40,391,715,503.17/284,257.51
  6. Step 6: Final answer
    x = 142,095.51

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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.