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Finding the Fourth Proportional to 432,157.80, 648,236.70 and 116,614.20

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Solution

The fourth proportional to 432,157.80, 648,236.70 and 116,614.20 is: 174,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,157.80 : 648,236.70 = 116,614.20 : x
  2. Step 2: Convert to fraction form
    432,157.80/648,236.70 = 116,614.20/x
  3. Step 3: Cross multiply
    432,157.80x = 648,236.70 × 116,614.20
  4. Step 4: Simplify right side
    432,157.80x = 75,593,604,181.14
  5. Step 5: Solve for x
    x = 75,593,604,181.14/432,157.80
  6. Step 6: Final answer
    x = 174,921.30

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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.