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Finding the Fourth Proportional to 114,084.80, 157,431.84 and 63,098

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Solution

The fourth proportional to 114,084.80, 157,431.84 and 63,098 is: 87,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,084.80 : 157,431.84 = 63,098 : x
  2. Step 2: Convert to fraction form
    114,084.80/157,431.84 = 63,098/x
  3. Step 3: Cross multiply
    114,084.80x = 157,431.84 × 63,098
  4. Step 4: Simplify right side
    114,084.80x = 9,933,634,240.32
  5. Step 5: Solve for x
    x = 9,933,634,240.32/114,084.80
  6. Step 6: Final answer
    x = 87,072.37

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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.