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Finding the Fourth Proportional to 237,678.38, 327,998.74 and 130,246.10

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Solution

The fourth proportional to 237,678.38, 327,998.74 and 130,246.10 is: 179,741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,678.38 : 327,998.74 = 130,246.10 : x
  2. Step 2: Convert to fraction form
    237,678.38/327,998.74 = 130,246.10/x
  3. Step 3: Cross multiply
    237,678.38x = 327,998.74 × 130,246.10
  4. Step 4: Simplify right side
    237,678.38x = 42,720,557,487.33
  5. Step 5: Solve for x
    x = 42,720,557,487.33/237,678.38
  6. Step 6: Final answer
    x = 179,741.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.