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Finding the Fourth Proportional to 168,225.12, 232,149.24 and 92,772

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Solution

The fourth proportional to 168,225.12, 232,149.24 and 92,772 is: 128,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,225.12 : 232,149.24 = 92,772 : x
  2. Step 2: Convert to fraction form
    168,225.12/232,149.24 = 92,772/x
  3. Step 3: Cross multiply
    168,225.12x = 232,149.24 × 92,772
  4. Step 4: Simplify right side
    168,225.12x = 21,536,949,293.28
  5. Step 5: Solve for x
    x = 21,536,949,293.28/168,225.12
  6. Step 6: Final answer
    x = 128,024.57

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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.