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Finding the Fourth Proportional to 114,224.58, 157,558.77 and 82,440.18

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Solution

The fourth proportional to 114,224.58, 157,558.77 and 82,440.18 is: 113,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,224.58 : 157,558.77 = 82,440.18 : x
  2. Step 2: Convert to fraction form
    114,224.58/157,558.77 = 82,440.18/x
  3. Step 3: Cross multiply
    114,224.58x = 157,558.77 × 82,440.18
  4. Step 4: Simplify right side
    114,224.58x = 12,989,173,359.38
  5. Step 5: Solve for x
    x = 12,989,173,359.38/114,224.58
  6. Step 6: Final answer
    x = 113,716.10

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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.