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Finding the Fourth Proportional to 433,190.66, 649,647.80 and 148,812.64

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Solution

The fourth proportional to 433,190.66, 649,647.80 and 148,812.64 is: 223,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,190.66 : 649,647.80 = 148,812.64 : x
  2. Step 2: Convert to fraction form
    433,190.66/649,647.80 = 148,812.64/x
  3. Step 3: Cross multiply
    433,190.66x = 649,647.80 × 148,812.64
  4. Step 4: Simplify right side
    433,190.66x = 96,675,804,188.19
  5. Step 5: Solve for x
    x = 96,675,804,188.19/433,190.66
  6. Step 6: Final answer
    x = 223,171.49

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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.