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Finding the Fourth Proportional to 114,138.72, 157,502.88 and 63,828

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Solution

The fourth proportional to 114,138.72, 157,502.88 and 63,828 is: 88,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,138.72 : 157,502.88 = 63,828 : x
  2. Step 2: Convert to fraction form
    114,138.72/157,502.88 = 63,828/x
  3. Step 3: Cross multiply
    114,138.72x = 157,502.88 × 63,828
  4. Step 4: Simplify right side
    114,138.72x = 10,053,093,824.64
  5. Step 5: Solve for x
    x = 10,053,093,824.64/114,138.72
  6. Step 6: Final answer
    x = 88,077.86

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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.