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Finding the Fourth Proportional to 204,916, 282,792.72 and 115,492

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Solution

The fourth proportional to 204,916, 282,792.72 and 115,492 is: 159,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,916 : 282,792.72 = 115,492 : x
  2. Step 2: Convert to fraction form
    204,916/282,792.72 = 115,492/x
  3. Step 3: Cross multiply
    204,916x = 282,792.72 × 115,492
  4. Step 4: Simplify right side
    204,916x = 32,660,296,818.24
  5. Step 5: Solve for x
    x = 32,660,296,818.24/204,916
  6. Step 6: Final answer
    x = 159,383.83

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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.