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Finding the Fourth Proportional to 215,132.16, 297,161.28 and 185,220.48

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Solution

The fourth proportional to 215,132.16, 297,161.28 and 185,220.48 is: 255,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,132.16 : 297,161.28 = 185,220.48 : x
  2. Step 2: Convert to fraction form
    215,132.16/297,161.28 = 185,220.48/x
  3. Step 3: Cross multiply
    215,132.16x = 297,161.28 × 185,220.48
  4. Step 4: Simplify right side
    215,132.16x = 55,040,354,919.01
  5. Step 5: Solve for x
    x = 55,040,354,919.01/215,132.16
  6. Step 6: Final answer
    x = 255,844.38

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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.