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Finding the Fourth Proportional to 200,168.80, 276,194.58 and 114,126.16

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Solution

The fourth proportional to 200,168.80, 276,194.58 and 114,126.16 is: 157,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,168.80 : 276,194.58 = 114,126.16 : x
  2. Step 2: Convert to fraction form
    200,168.80/276,194.58 = 114,126.16/x
  3. Step 3: Cross multiply
    200,168.80x = 276,194.58 × 114,126.16
  4. Step 4: Simplify right side
    200,168.80x = 31,521,026,828.21
  5. Step 5: Solve for x
    x = 31,521,026,828.21/200,168.80
  6. Step 6: Final answer
    x = 157,472.23

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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.