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Finding the Fourth Proportional to 114,105.38, 157,462.52 and 63,120.20

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Solution

The fourth proportional to 114,105.38, 157,462.52 and 63,120.20 is: 87,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,105.38 : 157,462.52 = 63,120.20 : x
  2. Step 2: Convert to fraction form
    114,105.38/157,462.52 = 63,120.20/x
  3. Step 3: Cross multiply
    114,105.38x = 157,462.52 × 63,120.20
  4. Step 4: Simplify right side
    114,105.38x = 9,939,064,651.99
  5. Step 5: Solve for x
    x = 9,939,064,651.99/114,105.38
  6. Step 6: Final answer
    x = 87,104.26

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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.