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Finding the Fourth Proportional to 104,955.38, 144,836.27 and 57,208.31

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Solution

The fourth proportional to 104,955.38, 144,836.27 and 57,208.31 is: 78,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,955.38 : 144,836.27 = 57,208.31 : x
  2. Step 2: Convert to fraction form
    104,955.38/144,836.27 = 57,208.31/x
  3. Step 3: Cross multiply
    104,955.38x = 144,836.27 × 57,208.31
  4. Step 4: Simplify right side
    104,955.38x = 8,285,837,223.18
  5. Step 5: Solve for x
    x = 8,285,837,223.18/104,955.38
  6. Step 6: Final answer
    x = 78,946.29

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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.