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Finding the Fourth Proportional to 133,692.58, 184,456.20 and 76,330

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Solution

The fourth proportional to 133,692.58, 184,456.20 and 76,330 is: 105,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,692.58 : 184,456.20 = 76,330 : x
  2. Step 2: Convert to fraction form
    133,692.58/184,456.20 = 76,330/x
  3. Step 3: Cross multiply
    133,692.58x = 184,456.20 × 76,330
  4. Step 4: Simplify right side
    133,692.58x = 14,079,541,746
  5. Step 5: Solve for x
    x = 14,079,541,746/133,692.58
  6. Step 6: Final answer
    x = 105,312.81

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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.