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Finding the Fourth Proportional to 193,272, 266,744.52 and 117,864.24

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Solution

The fourth proportional to 193,272, 266,744.52 and 117,864.24 is: 162,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,272 : 266,744.52 = 117,864.24 : x
  2. Step 2: Convert to fraction form
    193,272/266,744.52 = 117,864.24/x
  3. Step 3: Cross multiply
    193,272x = 266,744.52 × 117,864.24
  4. Step 4: Simplify right side
    193,272x = 31,439,640,123.96
  5. Step 5: Solve for x
    x = 31,439,640,123.96/193,272
  6. Step 6: Final answer
    x = 162,670.43

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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.