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Finding the Fourth Proportional to 342,110, 472,096.95 and 187,058.45

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Solution

The fourth proportional to 342,110, 472,096.95 and 187,058.45 is: 258,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,110 : 472,096.95 = 187,058.45 : x
  2. Step 2: Convert to fraction form
    342,110/472,096.95 = 187,058.45/x
  3. Step 3: Cross multiply
    342,110x = 472,096.95 × 187,058.45
  4. Step 4: Simplify right side
    342,110x = 88,309,723,716.73
  5. Step 5: Solve for x
    x = 88,309,723,716.73/342,110
  6. Step 6: Final answer
    x = 258,132.54

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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.