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Finding the Fourth Proportional to 201,665.70, 302,498.55 and 185,919.30

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Solution

The fourth proportional to 201,665.70, 302,498.55 and 185,919.30 is: 278,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,665.70 : 302,498.55 = 185,919.30 : x
  2. Step 2: Convert to fraction form
    201,665.70/302,498.55 = 185,919.30/x
  3. Step 3: Cross multiply
    201,665.70x = 302,498.55 × 185,919.30
  4. Step 4: Simplify right side
    201,665.70x = 56,240,318,667.02
  5. Step 5: Solve for x
    x = 56,240,318,667.02/201,665.70
  6. Step 6: Final answer
    x = 278,878.95

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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.