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Finding the Fourth Proportional to 114,092.64, 157,489.52 and 68,772.24

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Solution

The fourth proportional to 114,092.64, 157,489.52 and 68,772.24 is: 94,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,092.64 : 157,489.52 = 68,772.24 : x
  2. Step 2: Convert to fraction form
    114,092.64/157,489.52 = 68,772.24/x
  3. Step 3: Cross multiply
    114,092.64x = 157,489.52 × 68,772.24
  4. Step 4: Simplify right side
    114,092.64x = 10,830,907,066.92
  5. Step 5: Solve for x
    x = 10,830,907,066.92/114,092.64
  6. Step 6: Final answer
    x = 94,930.81

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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.