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Finding the Fourth Proportional to 189,062.25, 260,918.54 and 104,179.31

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Solution

The fourth proportional to 189,062.25, 260,918.54 and 104,179.31 is: 143,774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,062.25 : 260,918.54 = 104,179.31 : x
  2. Step 2: Convert to fraction form
    189,062.25/260,918.54 = 104,179.31/x
  3. Step 3: Cross multiply
    189,062.25x = 260,918.54 × 104,179.31
  4. Step 4: Simplify right side
    189,062.25x = 27,182,313,463.41
  5. Step 5: Solve for x
    x = 27,182,313,463.41/189,062.25
  6. Step 6: Final answer
    x = 143,774.41

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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.