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Finding the Fourth Proportional to 114,505.70, 171,759.65 and 43,409.22

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Solution

The fourth proportional to 114,505.70, 171,759.65 and 43,409.22 is: 65,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,505.70 : 171,759.65 = 43,409.22 : x
  2. Step 2: Convert to fraction form
    114,505.70/171,759.65 = 43,409.22/x
  3. Step 3: Cross multiply
    114,505.70x = 171,759.65 × 43,409.22
  4. Step 4: Simplify right side
    114,505.70x = 7,455,951,358.13
  5. Step 5: Solve for x
    x = 7,455,951,358.13/114,505.70
  6. Step 6: Final answer
    x = 65,114.24

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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.