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Finding the Fourth Proportional to 101,605.32, 152,067.96 and 100,261.14

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Solution

The fourth proportional to 101,605.32, 152,067.96 and 100,261.14 is: 150,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,605.32 : 152,067.96 = 100,261.14 : x
  2. Step 2: Convert to fraction form
    101,605.32/152,067.96 = 100,261.14/x
  3. Step 3: Cross multiply
    101,605.32x = 152,067.96 × 100,261.14
  4. Step 4: Simplify right side
    101,605.32x = 15,246,507,027.07
  5. Step 5: Solve for x
    x = 15,246,507,027.07/101,605.32
  6. Step 6: Final answer
    x = 150,056.19

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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.