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Finding the Fourth Proportional to 150,133.78, 225,200.80 and 61,387.28

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Solution

The fourth proportional to 150,133.78, 225,200.80 and 61,387.28 is: 92,080.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,133.78 : 225,200.80 = 61,387.28 : x
  2. Step 2: Convert to fraction form
    150,133.78/225,200.80 = 61,387.28/x
  3. Step 3: Cross multiply
    150,133.78x = 225,200.80 × 61,387.28
  4. Step 4: Simplify right side
    150,133.78x = 13,824,463,439.82
  5. Step 5: Solve for x
    x = 13,824,463,439.82/150,133.78
  6. Step 6: Final answer
    x = 92,080.97

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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.