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Finding the Fourth Proportional to 114,202.26, 157,598.31 and 65,786.52

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Solution

The fourth proportional to 114,202.26, 157,598.31 and 65,786.52 is: 90,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,202.26 : 157,598.31 = 65,786.52 : x
  2. Step 2: Convert to fraction form
    114,202.26/157,598.31 = 65,786.52/x
  3. Step 3: Cross multiply
    114,202.26x = 157,598.31 × 65,786.52
  4. Step 4: Simplify right side
    114,202.26x = 10,367,844,372.78
  5. Step 5: Solve for x
    x = 10,367,844,372.78/114,202.26
  6. Step 6: Final answer
    x = 90,784.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.