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Finding the Fourth Proportional to 202,177.20, 302,731.20 and 162,009.30

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Solution

The fourth proportional to 202,177.20, 302,731.20 and 162,009.30 is: 242,585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,177.20 : 302,731.20 = 162,009.30 : x
  2. Step 2: Convert to fraction form
    202,177.20/302,731.20 = 162,009.30/x
  3. Step 3: Cross multiply
    202,177.20x = 302,731.20 × 162,009.30
  4. Step 4: Simplify right side
    202,177.20x = 49,045,269,800.16
  5. Step 5: Solve for x
    x = 49,045,269,800.16/202,177.20
  6. Step 6: Final answer
    x = 242,585.56

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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.