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Finding the Fourth Proportional to 104,822.72, 144,653.28 and 57,076.64

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Solution

The fourth proportional to 104,822.72, 144,653.28 and 57,076.64 is: 78,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,822.72 : 144,653.28 = 57,076.64 : x
  2. Step 2: Convert to fraction form
    104,822.72/144,653.28 = 57,076.64/x
  3. Step 3: Cross multiply
    104,822.72x = 144,653.28 × 57,076.64
  4. Step 4: Simplify right side
    104,822.72x = 8,256,323,187.38
  5. Step 5: Solve for x
    x = 8,256,323,187.38/104,822.72
  6. Step 6: Final answer
    x = 78,764.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.