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Finding the Fourth Proportional to 189,084.54, 260,933.25 and 103,044.27

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Solution

The fourth proportional to 189,084.54, 260,933.25 and 103,044.27 is: 142,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,084.54 : 260,933.25 = 103,044.27 : x
  2. Step 2: Convert to fraction form
    189,084.54/260,933.25 = 103,044.27/x
  3. Step 3: Cross multiply
    189,084.54x = 260,933.25 × 103,044.27
  4. Step 4: Simplify right side
    189,084.54x = 26,887,676,264.98
  5. Step 5: Solve for x
    x = 26,887,676,264.98/189,084.54
  6. Step 6: Final answer
    x = 142,199.23

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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.