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Finding the Fourth Proportional to 114,213, 157,614.48 and 63,912

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Solution

The fourth proportional to 114,213, 157,614.48 and 63,912 is: 88,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,213 : 157,614.48 = 63,912 : x
  2. Step 2: Convert to fraction form
    114,213/157,614.48 = 63,912/x
  3. Step 3: Cross multiply
    114,213x = 157,614.48 × 63,912
  4. Step 4: Simplify right side
    114,213x = 10,073,456,645.76
  5. Step 5: Solve for x
    x = 10,073,456,645.76/114,213
  6. Step 6: Final answer
    x = 88,198.86

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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.