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Finding the Fourth Proportional to 154,794, 232,100.64 and 48,149.04

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Solution

The fourth proportional to 154,794, 232,100.64 and 48,149.04 is: 72,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,794 : 232,100.64 = 48,149.04 : x
  2. Step 2: Convert to fraction form
    154,794/232,100.64 = 48,149.04/x
  3. Step 3: Cross multiply
    154,794x = 232,100.64 × 48,149.04
  4. Step 4: Simplify right side
    154,794x = 11,175,422,999.39
  5. Step 5: Solve for x
    x = 11,175,422,999.39/154,794
  6. Step 6: Final answer
    x = 72,195.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.