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Finding the Fourth Proportional to 150,020.48, 207,027.36 and 82,952

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Solution

The fourth proportional to 150,020.48, 207,027.36 and 82,952 is: 114,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,020.48 : 207,027.36 = 82,952 : x
  2. Step 2: Convert to fraction form
    150,020.48/207,027.36 = 82,952/x
  3. Step 3: Cross multiply
    150,020.48x = 207,027.36 × 82,952
  4. Step 4: Simplify right side
    150,020.48x = 17,173,333,566.72
  5. Step 5: Solve for x
    x = 17,173,333,566.72/150,020.48
  6. Step 6: Final answer
    x = 114,473.26

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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.