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Finding the Fourth Proportional to 114,107.38, 157,456.04 and 63,112

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Solution

The fourth proportional to 114,107.38, 157,456.04 and 63,112 is: 87,087.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,107.38 : 157,456.04 = 63,112 : x
  2. Step 2: Convert to fraction form
    114,107.38/157,456.04 = 63,112/x
  3. Step 3: Cross multiply
    114,107.38x = 157,456.04 × 63,112
  4. Step 4: Simplify right side
    114,107.38x = 9,937,365,596.48
  5. Step 5: Solve for x
    x = 9,937,365,596.48/114,107.38
  6. Step 6: Final answer
    x = 87,087.84

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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.