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Finding the Fourth Proportional to 101,756.64, 140,460.50 and 69,468.14

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Solution

The fourth proportional to 101,756.64, 140,460.50 and 69,468.14 is: 95,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,756.64 : 140,460.50 = 69,468.14 : x
  2. Step 2: Convert to fraction form
    101,756.64/140,460.50 = 69,468.14/x
  3. Step 3: Cross multiply
    101,756.64x = 140,460.50 × 69,468.14
  4. Step 4: Simplify right side
    101,756.64x = 9,757,529,678.47
  5. Step 5: Solve for x
    x = 9,757,529,678.47/101,756.64
  6. Step 6: Final answer
    x = 95,890.84

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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.