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Finding the Fourth Proportional to 176,180.60, 264,349.20 and 71,204.60

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Solution

The fourth proportional to 176,180.60, 264,349.20 and 71,204.60 is: 106,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,180.60 : 264,349.20 = 71,204.60 : x
  2. Step 2: Convert to fraction form
    176,180.60/264,349.20 = 71,204.60/x
  3. Step 3: Cross multiply
    176,180.60x = 264,349.20 × 71,204.60
  4. Step 4: Simplify right side
    176,180.60x = 18,822,879,046.32
  5. Step 5: Solve for x
    x = 18,822,879,046.32/176,180.60
  6. Step 6: Final answer
    x = 106,838.55

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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.