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Finding the Fourth Proportional to 200,857.44, 301,168.08 and 76,207.20

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Solution

The fourth proportional to 200,857.44, 301,168.08 and 76,207.20 is: 114,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,857.44 : 301,168.08 = 76,207.20 : x
  2. Step 2: Convert to fraction form
    200,857.44/301,168.08 = 76,207.20/x
  3. Step 3: Cross multiply
    200,857.44x = 301,168.08 × 76,207.20
  4. Step 4: Simplify right side
    200,857.44x = 22,951,176,106.18
  5. Step 5: Solve for x
    x = 22,951,176,106.18/200,857.44
  6. Step 6: Final answer
    x = 114,266.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.