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Finding the Fourth Proportional to 176,512.64, 264,773.44 and 51,857.60

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Solution

The fourth proportional to 176,512.64, 264,773.44 and 51,857.60 is: 77,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,512.64 : 264,773.44 = 51,857.60 : x
  2. Step 2: Convert to fraction form
    176,512.64/264,773.44 = 51,857.60/x
  3. Step 3: Cross multiply
    176,512.64x = 264,773.44 × 51,857.60
  4. Step 4: Simplify right side
    176,512.64x = 13,730,515,142.14
  5. Step 5: Solve for x
    x = 13,730,515,142.14/176,512.64
  6. Step 6: Final answer
    x = 77,787.72

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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.