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Finding the Fourth Proportional to 227,360.16, 313,768.08 and 126,756

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Solution

The fourth proportional to 227,360.16, 313,768.08 and 126,756 is: 174,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,360.16 : 313,768.08 = 126,756 : x
  2. Step 2: Convert to fraction form
    227,360.16/313,768.08 = 126,756/x
  3. Step 3: Cross multiply
    227,360.16x = 313,768.08 × 126,756
  4. Step 4: Simplify right side
    227,360.16x = 39,771,986,748.48
  5. Step 5: Solve for x
    x = 39,771,986,748.48/227,360.16
  6. Step 6: Final answer
    x = 174,929.45

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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.