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Finding the Fourth Proportional to 204,876.45, 282,708.81 and 114,223.91

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Solution

The fourth proportional to 204,876.45, 282,708.81 and 114,223.91 is: 157,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,876.45 : 282,708.81 = 114,223.91 : x
  2. Step 2: Convert to fraction form
    204,876.45/282,708.81 = 114,223.91/x
  3. Step 3: Cross multiply
    204,876.45x = 282,708.81 × 114,223.91
  4. Step 4: Simplify right side
    204,876.45x = 32,292,104,256.10
  5. Step 5: Solve for x
    x = 32,292,104,256.10/204,876.45
  6. Step 6: Final answer
    x = 157,617.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.