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Finding the Fourth Proportional to 237,079.89, 327,175.71 and 146,497.98

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Solution

The fourth proportional to 237,079.89, 327,175.71 and 146,497.98 is: 202,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,079.89 : 327,175.71 = 146,497.98 : x
  2. Step 2: Convert to fraction form
    237,079.89/327,175.71 = 146,497.98/x
  3. Step 3: Cross multiply
    237,079.89x = 327,175.71 × 146,497.98
  4. Step 4: Simplify right side
    237,079.89x = 47,930,580,620.07
  5. Step 5: Solve for x
    x = 47,930,580,620.07/237,079.89
  6. Step 6: Final answer
    x = 202,170.59

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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.