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Finding the Fourth Proportional to 101,710.08, 140,415.75 and 69,493.14

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Solution

The fourth proportional to 101,710.08, 140,415.75 and 69,493.14 is: 95,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,710.08 : 140,415.75 = 69,493.14 : x
  2. Step 2: Convert to fraction form
    101,710.08/140,415.75 = 69,493.14/x
  3. Step 3: Cross multiply
    101,710.08x = 140,415.75 × 69,493.14
  4. Step 4: Simplify right side
    101,710.08x = 9,757,931,372.96
  5. Step 5: Solve for x
    x = 9,757,931,372.96/101,710.08
  6. Step 6: Final answer
    x = 95,938.69

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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.