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Finding the Fourth Proportional to 284,098.40, 426,147.60 and 159,423.20

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Solution

The fourth proportional to 284,098.40, 426,147.60 and 159,423.20 is: 239,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,098.40 : 426,147.60 = 159,423.20 : x
  2. Step 2: Convert to fraction form
    284,098.40/426,147.60 = 159,423.20/x
  3. Step 3: Cross multiply
    284,098.40x = 426,147.60 × 159,423.20
  4. Step 4: Simplify right side
    284,098.40x = 67,937,814,064.32
  5. Step 5: Solve for x
    x = 67,937,814,064.32/284,098.40
  6. Step 6: Final answer
    x = 239,134.80

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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.