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Finding the Fourth Proportional to 200,914.56, 277,259.16 and 114,872.64

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Solution

The fourth proportional to 200,914.56, 277,259.16 and 114,872.64 is: 158,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,914.56 : 277,259.16 = 114,872.64 : x
  2. Step 2: Convert to fraction form
    200,914.56/277,259.16 = 114,872.64/x
  3. Step 3: Cross multiply
    200,914.56x = 277,259.16 × 114,872.64
  4. Step 4: Simplify right side
    200,914.56x = 31,849,491,673.38
  5. Step 5: Solve for x
    x = 31,849,491,673.38/200,914.56
  6. Step 6: Final answer
    x = 158,522.57

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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.