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Finding the Fourth Proportional to 114,202.16, 171,404.99 and 54,304.48

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Solution

The fourth proportional to 114,202.16, 171,404.99 and 54,304.48 is: 81,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,202.16 : 171,404.99 = 54,304.48 : x
  2. Step 2: Convert to fraction form
    114,202.16/171,404.99 = 54,304.48/x
  3. Step 3: Cross multiply
    114,202.16x = 171,404.99 × 54,304.48
  4. Step 4: Simplify right side
    114,202.16x = 9,308,058,851.36
  5. Step 5: Solve for x
    x = 9,308,058,851.36/114,202.16
  6. Step 6: Final answer
    x = 81,505.10

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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.