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Finding the Fourth Proportional to 114,115.38, 157,478.30 and 63,814.38

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Solution

The fourth proportional to 114,115.38, 157,478.30 and 63,814.38 is: 88,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,115.38 : 157,478.30 = 63,814.38 : x
  2. Step 2: Convert to fraction form
    114,115.38/157,478.30 = 63,814.38/x
  3. Step 3: Cross multiply
    114,115.38x = 157,478.30 × 63,814.38
  4. Step 4: Simplify right side
    114,115.38x = 10,049,380,077.95
  5. Step 5: Solve for x
    x = 10,049,380,077.95/114,115.38
  6. Step 6: Final answer
    x = 88,063.33

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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.