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Finding the Fourth Proportional to 237,660, 327,919.62 and 140,894.40

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Solution

The fourth proportional to 237,660, 327,919.62 and 140,894.40 is: 194,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,660 : 327,919.62 = 140,894.40 : x
  2. Step 2: Convert to fraction form
    237,660/327,919.62 = 140,894.40/x
  3. Step 3: Cross multiply
    237,660x = 327,919.62 × 140,894.40
  4. Step 4: Simplify right side
    237,660x = 46,202,038,108.13
  5. Step 5: Solve for x
    x = 46,202,038,108.13/237,660
  6. Step 6: Final answer
    x = 194,403.93

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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.