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Finding the Fourth Proportional to 101,402.82, 151,958.91 and 56,936.15

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Solution

The fourth proportional to 101,402.82, 151,958.91 and 56,936.15 is: 85,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,402.82 : 151,958.91 = 56,936.15 : x
  2. Step 2: Convert to fraction form
    101,402.82/151,958.91 = 56,936.15/x
  3. Step 3: Cross multiply
    101,402.82x = 151,958.91 × 56,936.15
  4. Step 4: Simplify right side
    101,402.82x = 8,651,955,798.10
  5. Step 5: Solve for x
    x = 8,651,955,798.10/101,402.82
  6. Step 6: Final answer
    x = 85,322.64

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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.