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Finding the Fourth Proportional to 176,646.76, 264,964.05 and 50,287.78

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Solution

The fourth proportional to 176,646.76, 264,964.05 and 50,287.78 is: 75,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,646.76 : 264,964.05 = 50,287.78 : x
  2. Step 2: Convert to fraction form
    176,646.76/264,964.05 = 50,287.78/x
  3. Step 3: Cross multiply
    176,646.76x = 264,964.05 × 50,287.78
  4. Step 4: Simplify right side
    176,646.76x = 13,324,453,854.31
  5. Step 5: Solve for x
    x = 13,324,453,854.31/176,646.76
  6. Step 6: Final answer
    x = 75,429.94

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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.