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Finding the Fourth Proportional to 199,044.76, 274,706.91 and 114,160

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Solution

The fourth proportional to 199,044.76, 274,706.91 and 114,160 is: 157,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,044.76 : 274,706.91 = 114,160 : x
  2. Step 2: Convert to fraction form
    199,044.76/274,706.91 = 114,160/x
  3. Step 3: Cross multiply
    199,044.76x = 274,706.91 × 114,160
  4. Step 4: Simplify right side
    199,044.76x = 31,360,540,845.60
  5. Step 5: Solve for x
    x = 31,360,540,845.60/199,044.76
  6. Step 6: Final answer
    x = 157,555.22

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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.