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Finding the Fourth Proportional to 150,473.08, 225,807.48 and 65,167.24

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Solution

The fourth proportional to 150,473.08, 225,807.48 and 65,167.24 is: 97,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,473.08 : 225,807.48 = 65,167.24 : x
  2. Step 2: Convert to fraction form
    150,473.08/225,807.48 = 65,167.24/x
  3. Step 3: Cross multiply
    150,473.08x = 225,807.48 × 65,167.24
  4. Step 4: Simplify right side
    150,473.08x = 14,715,250,242.96
  5. Step 5: Solve for x
    x = 14,715,250,242.96/150,473.08
  6. Step 6: Final answer
    x = 97,793.24

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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.