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Finding the Fourth Proportional to 284,101.80, 426,152.70 and 106,614.60

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Solution

The fourth proportional to 284,101.80, 426,152.70 and 106,614.60 is: 159,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,101.80 : 426,152.70 = 106,614.60 : x
  2. Step 2: Convert to fraction form
    284,101.80/426,152.70 = 106,614.60/x
  3. Step 3: Cross multiply
    284,101.80x = 426,152.70 × 106,614.60
  4. Step 4: Simplify right side
    284,101.80x = 45,434,099,649.42
  5. Step 5: Solve for x
    x = 45,434,099,649.42/284,101.80
  6. Step 6: Final answer
    x = 159,921.90

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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.