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Finding the Fourth Proportional to 284,671.80, 427,010.54 and 116,147.12

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Solution

The fourth proportional to 284,671.80, 427,010.54 and 116,147.12 is: 174,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,671.80 : 427,010.54 = 116,147.12 : x
  2. Step 2: Convert to fraction form
    284,671.80/427,010.54 = 116,147.12/x
  3. Step 3: Cross multiply
    284,671.80x = 427,010.54 × 116,147.12
  4. Step 4: Simplify right side
    284,671.80x = 49,596,041,714.86
  5. Step 5: Solve for x
    x = 49,596,041,714.86/284,671.80
  6. Step 6: Final answer
    x = 174,221.83

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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.