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Finding the Fourth Proportional to 114,322.96, 157,626.28 and 84,016

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Solution

The fourth proportional to 114,322.96, 157,626.28 and 84,016 is: 115,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,322.96 : 157,626.28 = 84,016 : x
  2. Step 2: Convert to fraction form
    114,322.96/157,626.28 = 84,016/x
  3. Step 3: Cross multiply
    114,322.96x = 157,626.28 × 84,016
  4. Step 4: Simplify right side
    114,322.96x = 13,243,129,540.48
  5. Step 5: Solve for x
    x = 13,243,129,540.48/114,322.96
  6. Step 6: Final answer
    x = 115,839.63

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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.