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Finding the Fourth Proportional to 241,128, 332,757.12 and 135,144

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Solution

The fourth proportional to 241,128, 332,757.12 and 135,144 is: 186,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,128 : 332,757.12 = 135,144 : x
  2. Step 2: Convert to fraction form
    241,128/332,757.12 = 135,144/x
  3. Step 3: Cross multiply
    241,128x = 332,757.12 × 135,144
  4. Step 4: Simplify right side
    241,128x = 44,970,128,225.28
  5. Step 5: Solve for x
    x = 44,970,128,225.28/241,128
  6. Step 6: Final answer
    x = 186,498.99

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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.