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Finding the Fourth Proportional to 133,432.92, 200,378.34 and 118,473.84

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Solution

The fourth proportional to 133,432.92, 200,378.34 and 118,473.84 is: 177,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,432.92 : 200,378.34 = 118,473.84 : x
  2. Step 2: Convert to fraction form
    133,432.92/200,378.34 = 118,473.84/x
  3. Step 3: Cross multiply
    133,432.92x = 200,378.34 × 118,473.84
  4. Step 4: Simplify right side
    133,432.92x = 23,739,591,392.63
  5. Step 5: Solve for x
    x = 23,739,591,392.63/133,432.92
  6. Step 6: Final answer
    x = 177,914.05

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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.