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Finding the Fourth Proportional to 213,252.01, 319,971.40 and 101,012.33

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Solution

The fourth proportional to 213,252.01, 319,971.40 and 101,012.33 is: 151,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,252.01 : 319,971.40 = 101,012.33 : x
  2. Step 2: Convert to fraction form
    213,252.01/319,971.40 = 101,012.33/x
  3. Step 3: Cross multiply
    213,252.01x = 319,971.40 × 101,012.33
  4. Step 4: Simplify right side
    213,252.01x = 32,321,057,194.76
  5. Step 5: Solve for x
    x = 32,321,057,194.76/213,252.01
  6. Step 6: Final answer
    x = 151,562.73

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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.