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Finding the Fourth Proportional to 189,092.59, 260,947.78 and 104,209.65

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Solution

The fourth proportional to 189,092.59, 260,947.78 and 104,209.65 is: 143,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,092.59 : 260,947.78 = 104,209.65 : x
  2. Step 2: Convert to fraction form
    189,092.59/260,947.78 = 104,209.65/x
  3. Step 3: Cross multiply
    189,092.59x = 260,947.78 × 104,209.65
  4. Step 4: Simplify right side
    189,092.59x = 27,193,276,822.08
  5. Step 5: Solve for x
    x = 27,193,276,822.08/189,092.59
  6. Step 6: Final answer
    x = 143,809.32

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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.