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Finding the Fourth Proportional to 201,899.70, 302,266.35 and 123,167.70

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Solution

The fourth proportional to 201,899.70, 302,266.35 and 123,167.70 is: 184,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,899.70 : 302,266.35 = 123,167.70 : x
  2. Step 2: Convert to fraction form
    201,899.70/302,266.35 = 123,167.70/x
  3. Step 3: Cross multiply
    201,899.70x = 302,266.35 × 123,167.70
  4. Step 4: Simplify right side
    201,899.70x = 37,229,451,116.90
  5. Step 5: Solve for x
    x = 37,229,451,116.90/201,899.70
  6. Step 6: Final answer
    x = 184,395.77

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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.