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Finding the Fourth Proportional to 114,388.14, 157,859.68 and 69,057.27

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Solution

The fourth proportional to 114,388.14, 157,859.68 and 69,057.27 is: 95,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,388.14 : 157,859.68 = 69,057.27 : x
  2. Step 2: Convert to fraction form
    114,388.14/157,859.68 = 69,057.27/x
  3. Step 3: Cross multiply
    114,388.14x = 157,859.68 × 69,057.27
  4. Step 4: Simplify right side
    114,388.14x = 10,901,358,543.87
  5. Step 5: Solve for x
    x = 10,901,358,543.87/114,388.14
  6. Step 6: Final answer
    x = 95,301.48

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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.