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Finding the Fourth Proportional to 176,646.64, 264,963.87 and 50,287.66

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Solution

The fourth proportional to 176,646.64, 264,963.87 and 50,287.66 is: 75,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,646.64 : 264,963.87 = 50,287.66 : x
  2. Step 2: Convert to fraction form
    176,646.64/264,963.87 = 50,287.66/x
  3. Step 3: Cross multiply
    176,646.64x = 264,963.87 × 50,287.66
  4. Step 4: Simplify right side
    176,646.64x = 13,324,411,682.02
  5. Step 5: Solve for x
    x = 13,324,411,682.02/176,646.64
  6. Step 6: Final answer
    x = 75,429.75

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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.