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Finding the Fourth Proportional to 308,052.80, 461,733.60 and 158,235.20

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Solution

The fourth proportional to 308,052.80, 461,733.60 and 158,235.20 is: 237,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,052.80 : 461,733.60 = 158,235.20 : x
  2. Step 2: Convert to fraction form
    308,052.80/461,733.60 = 158,235.20/x
  3. Step 3: Cross multiply
    308,052.80x = 461,733.60 × 158,235.20
  4. Step 4: Simplify right side
    308,052.80x = 73,062,508,542.72
  5. Step 5: Solve for x
    x = 73,062,508,542.72/308,052.80
  6. Step 6: Final answer
    x = 237,175.28

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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.