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Finding the Fourth Proportional to 284,804.60, 426,861.30 and 126,865.40

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Solution

The fourth proportional to 284,804.60, 426,861.30 and 126,865.40 is: 190,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,804.60 : 426,861.30 = 126,865.40 : x
  2. Step 2: Convert to fraction form
    284,804.60/426,861.30 = 126,865.40/x
  3. Step 3: Cross multiply
    284,804.60x = 426,861.30 × 126,865.40
  4. Step 4: Simplify right side
    284,804.60x = 54,153,929,569.02
  5. Step 5: Solve for x
    x = 54,153,929,569.02/284,804.60
  6. Step 6: Final answer
    x = 190,144.15

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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.