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Finding the Fourth Proportional to 189,092.54, 260,957.43 and 104,209.61

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Solution

The fourth proportional to 189,092.54, 260,957.43 and 104,209.61 is: 143,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,092.54 : 260,957.43 = 104,209.61 : x
  2. Step 2: Convert to fraction form
    189,092.54/260,957.43 = 104,209.61/x
  3. Step 3: Cross multiply
    189,092.54x = 260,957.43 × 104,209.61
  4. Step 4: Simplify right side
    189,092.54x = 27,194,270,702.12
  5. Step 5: Solve for x
    x = 27,194,270,702.12/189,092.54
  6. Step 6: Final answer
    x = 143,814.62

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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.