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Finding the Fourth Proportional to 214,466, 295,919.16 and 118,952.24

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Solution

The fourth proportional to 214,466, 295,919.16 and 118,952.24 is: 164,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,466 : 295,919.16 = 118,952.24 : x
  2. Step 2: Convert to fraction form
    214,466/295,919.16 = 118,952.24/x
  3. Step 3: Cross multiply
    214,466x = 295,919.16 × 118,952.24
  4. Step 4: Simplify right side
    214,466x = 35,200,246,940.92
  5. Step 5: Solve for x
    x = 35,200,246,940.92/214,466
  6. Step 6: Final answer
    x = 164,129.73

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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.