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Finding the Fourth Proportional to 200,738.13, 277,018.62 and 111,314.13

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Solution

The fourth proportional to 200,738.13, 277,018.62 and 111,314.13 is: 153,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,738.13 : 277,018.62 = 111,314.13 : x
  2. Step 2: Convert to fraction form
    200,738.13/277,018.62 = 111,314.13/x
  3. Step 3: Cross multiply
    200,738.13x = 277,018.62 × 111,314.13
  4. Step 4: Simplify right side
    200,738.13x = 30,836,086,679.10
  5. Step 5: Solve for x
    x = 30,836,086,679.10/200,738.13
  6. Step 6: Final answer
    x = 153,613.50

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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.