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Finding the Fourth Proportional to 202,437.62, 303,840.70 and 107,747.30

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Solution

The fourth proportional to 202,437.62, 303,840.70 and 107,747.30 is: 161,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,437.62 : 303,840.70 = 107,747.30 : x
  2. Step 2: Convert to fraction form
    202,437.62/303,840.70 = 107,747.30/x
  3. Step 3: Cross multiply
    202,437.62x = 303,840.70 × 107,747.30
  4. Step 4: Simplify right side
    202,437.62x = 32,738,015,055.11
  5. Step 5: Solve for x
    x = 32,738,015,055.11/202,437.62
  6. Step 6: Final answer
    x = 161,719.03

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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.