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Finding the Fourth Proportional to 104,943.92, 144,825.66 and 57,200.36

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Solution

The fourth proportional to 104,943.92, 144,825.66 and 57,200.36 is: 78,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,943.92 : 144,825.66 = 57,200.36 : x
  2. Step 2: Convert to fraction form
    104,943.92/144,825.66 = 57,200.36/x
  3. Step 3: Cross multiply
    104,943.92x = 144,825.66 × 57,200.36
  4. Step 4: Simplify right side
    104,943.92x = 8,284,079,165.11
  5. Step 5: Solve for x
    x = 8,284,079,165.11/104,943.92
  6. Step 6: Final answer
    x = 78,938.16

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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.