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Finding the Fourth Proportional to 432,740.02, 649,171.47 and 133,245.46

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Solution

The fourth proportional to 432,740.02, 649,171.47 and 133,245.46 is: 199,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,740.02 : 649,171.47 = 133,245.46 : x
  2. Step 2: Convert to fraction form
    432,740.02/649,171.47 = 133,245.46/x
  3. Step 3: Cross multiply
    432,740.02x = 649,171.47 × 133,245.46
  4. Step 4: Simplify right side
    432,740.02x = 86,499,151,139.03
  5. Step 5: Solve for x
    x = 86,499,151,139.03/432,740.02
  6. Step 6: Final answer
    x = 199,887.11

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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.