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Finding the Fourth Proportional to 237,558, 327,820.32 and 142,117.44

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Solution

The fourth proportional to 237,558, 327,820.32 and 142,117.44 is: 196,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,558 : 327,820.32 = 142,117.44 : x
  2. Step 2: Convert to fraction form
    237,558/327,820.32 = 142,117.44/x
  3. Step 3: Cross multiply
    237,558x = 327,820.32 × 142,117.44
  4. Step 4: Simplify right side
    237,558x = 46,588,984,658.38
  5. Step 5: Solve for x
    x = 46,588,984,658.38/237,558
  6. Step 6: Final answer
    x = 196,116.25

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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.