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Finding the Fourth Proportional to 284,581.20, 426,580.20 and 166,191.60

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Solution

The fourth proportional to 284,581.20, 426,580.20 and 166,191.60 is: 249,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,581.20 : 426,580.20 = 166,191.60 : x
  2. Step 2: Convert to fraction form
    284,581.20/426,580.20 = 166,191.60/x
  3. Step 3: Cross multiply
    284,581.20x = 426,580.20 × 166,191.60
  4. Step 4: Simplify right side
    284,581.20x = 70,894,045,966.32
  5. Step 5: Solve for x
    x = 70,894,045,966.32/284,581.20
  6. Step 6: Final answer
    x = 249,117.11

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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.