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Finding the Fourth Proportional to 191,110.81, 286,744.79 and 84,438.46

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Solution

The fourth proportional to 191,110.81, 286,744.79 and 84,438.46 is: 126,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,110.81 : 286,744.79 = 84,438.46 : x
  2. Step 2: Convert to fraction form
    191,110.81/286,744.79 = 84,438.46/x
  3. Step 3: Cross multiply
    191,110.81x = 286,744.79 × 84,438.46
  4. Step 4: Simplify right side
    191,110.81x = 24,212,288,058.43
  5. Step 5: Solve for x
    x = 24,212,288,058.43/191,110.81
  6. Step 6: Final answer
    x = 126,692.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.