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Finding the Fourth Proportional to 284,141.80, 426,059.10 and 117,946.60

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Solution

The fourth proportional to 284,141.80, 426,059.10 and 117,946.60 is: 176,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,141.80 : 426,059.10 = 117,946.60 : x
  2. Step 2: Convert to fraction form
    284,141.80/426,059.10 = 117,946.60/x
  3. Step 3: Cross multiply
    284,141.80x = 426,059.10 × 117,946.60
  4. Step 4: Simplify right side
    284,141.80x = 50,252,222,244.06
  5. Step 5: Solve for x
    x = 50,252,222,244.06/284,141.80
  6. Step 6: Final answer
    x = 176,856.14

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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.