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Finding the Fourth Proportional to 189,703.72, 261,787.94 and 103,660.80

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Solution

The fourth proportional to 189,703.72, 261,787.94 and 103,660.80 is: 143,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,703.72 : 261,787.94 = 103,660.80 : x
  2. Step 2: Convert to fraction form
    189,703.72/261,787.94 = 103,660.80/x
  3. Step 3: Cross multiply
    189,703.72x = 261,787.94 × 103,660.80
  4. Step 4: Simplify right side
    189,703.72x = 27,137,147,290.75
  5. Step 5: Solve for x
    x = 27,137,147,290.75/189,703.72
  6. Step 6: Final answer
    x = 143,050.16

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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.