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Finding the Fourth Proportional to 202,507.10, 303,760.65 and 165,109.40

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Solution

The fourth proportional to 202,507.10, 303,760.65 and 165,109.40 is: 247,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,507.10 : 303,760.65 = 165,109.40 : x
  2. Step 2: Convert to fraction form
    202,507.10/303,760.65 = 165,109.40/x
  3. Step 3: Cross multiply
    202,507.10x = 303,760.65 × 165,109.40
  4. Step 4: Simplify right side
    202,507.10x = 50,153,738,665.11
  5. Step 5: Solve for x
    x = 50,153,738,665.11/202,507.10
  6. Step 6: Final answer
    x = 247,664.10

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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.