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Finding the Fourth Proportional to 200,207.84, 276,317.90 and 114,167.01

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Solution

The fourth proportional to 200,207.84, 276,317.90 and 114,167.01 is: 157,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,207.84 : 276,317.90 = 114,167.01 : x
  2. Step 2: Convert to fraction form
    200,207.84/276,317.90 = 114,167.01/x
  3. Step 3: Cross multiply
    200,207.84x = 276,317.90 × 114,167.01
  4. Step 4: Simplify right side
    200,207.84x = 31,546,388,452.48
  5. Step 5: Solve for x
    x = 31,546,388,452.48/200,207.84
  6. Step 6: Final answer
    x = 157,568.20

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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.