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Finding the Fourth Proportional to 284,591.86, 426,841.03 and 102,184.91

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Solution

The fourth proportional to 284,591.86, 426,841.03 and 102,184.91 is: 153,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,591.86 : 426,841.03 = 102,184.91 : x
  2. Step 2: Convert to fraction form
    284,591.86/426,841.03 = 102,184.91/x
  3. Step 3: Cross multiply
    284,591.86x = 426,841.03 × 102,184.91
  4. Step 4: Simplify right side
    284,591.86x = 43,616,712,234.86
  5. Step 5: Solve for x
    x = 43,616,712,234.86/284,591.86
  6. Step 6: Final answer
    x = 153,260.58

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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.