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Finding the Fourth Proportional to 193,452.32, 267,088 and 157,728

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Solution

The fourth proportional to 193,452.32, 267,088 and 157,728 is: 217,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,452.32 : 267,088 = 157,728 : x
  2. Step 2: Convert to fraction form
    193,452.32/267,088 = 157,728/x
  3. Step 3: Cross multiply
    193,452.32x = 267,088 × 157,728
  4. Step 4: Simplify right side
    193,452.32x = 42,127,256,064
  5. Step 5: Solve for x
    x = 42,127,256,064/193,452.32
  6. Step 6: Final answer
    x = 217,765.58

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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.