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Finding the Fourth Proportional to 189,817.79, 261,949.74 and 103,776.97

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Solution

The fourth proportional to 189,817.79, 261,949.74 and 103,776.97 is: 143,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,817.79 : 261,949.74 = 103,776.97 : x
  2. Step 2: Convert to fraction form
    189,817.79/261,949.74 = 103,776.97/x
  3. Step 3: Cross multiply
    189,817.79x = 261,949.74 × 103,776.97
  4. Step 4: Simplify right side
    189,817.79x = 27,184,350,309.49
  5. Step 5: Solve for x
    x = 27,184,350,309.49/189,817.79
  6. Step 6: Final answer
    x = 143,212.87

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1.5x scale

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.