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Finding the Fourth Proportional to 174,496.86, 240,744.29 and 114,102.86

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Solution

The fourth proportional to 174,496.86, 240,744.29 and 114,102.86 is: 157,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,496.86 : 240,744.29 = 114,102.86 : x
  2. Step 2: Convert to fraction form
    174,496.86/240,744.29 = 114,102.86/x
  3. Step 3: Cross multiply
    174,496.86x = 240,744.29 × 114,102.86
  4. Step 4: Simplify right side
    174,496.86x = 27,469,610,243.43
  5. Step 5: Solve for x
    x = 27,469,610,243.43/174,496.86
  6. Step 6: Final answer
    x = 157,421.80

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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.