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Finding the Fourth Proportional to 194,993, 292,452.51 and 95,052.68

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Solution

The fourth proportional to 194,993, 292,452.51 and 95,052.68 is: 142,560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,993 : 292,452.51 = 95,052.68 : x
  2. Step 2: Convert to fraction form
    194,993/292,452.51 = 95,052.68/x
  3. Step 3: Cross multiply
    194,993x = 292,452.51 × 95,052.68
  4. Step 4: Simplify right side
    194,993x = 27,798,394,848.23
  5. Step 5: Solve for x
    x = 27,798,394,848.23/194,993
  6. Step 6: Final answer
    x = 142,560.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.