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Finding the Fourth Proportional to 189,778.71, 261,894.35 and 104,895.78

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Solution

The fourth proportional to 189,778.71, 261,894.35 and 104,895.78 is: 144,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,778.71 : 261,894.35 = 104,895.78 : x
  2. Step 2: Convert to fraction form
    189,778.71/261,894.35 = 104,895.78/x
  3. Step 3: Cross multiply
    189,778.71x = 261,894.35 × 104,895.78
  4. Step 4: Simplify right side
    189,778.71x = 27,471,611,596.36
  5. Step 5: Solve for x
    x = 27,471,611,596.36/189,778.71
  6. Step 6: Final answer
    x = 144,756.02

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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.