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Finding the Fourth Proportional to 284,816.10, 426,878.55 and 126,876.90

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Solution

The fourth proportional to 284,816.10, 426,878.55 and 126,876.90 is: 190,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,816.10 : 426,878.55 = 126,876.90 : x
  2. Step 2: Convert to fraction form
    284,816.10/426,878.55 = 126,876.90/x
  3. Step 3: Cross multiply
    284,816.10x = 426,878.55 × 126,876.90
  4. Step 4: Simplify right side
    284,816.10x = 54,161,027,100.50
  5. Step 5: Solve for x
    x = 54,161,027,100.50/284,816.10
  6. Step 6: Final answer
    x = 190,161.40

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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.