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Finding the Fourth Proportional to 284,523.12, 426,456.36 and 106,916.58

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Solution

The fourth proportional to 284,523.12, 426,456.36 and 106,916.58 is: 160,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,523.12 : 426,456.36 = 106,916.58 : x
  2. Step 2: Convert to fraction form
    284,523.12/426,456.36 = 106,916.58/x
  3. Step 3: Cross multiply
    284,523.12x = 426,456.36 × 106,916.58
  4. Step 4: Simplify right side
    284,523.12x = 45,595,255,530.45
  5. Step 5: Solve for x
    x = 45,595,255,530.45/284,523.12
  6. Step 6: Final answer
    x = 160,251.50

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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.