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Finding the Fourth Proportional to 201,805.85, 302,667.50 and 75,422.77

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Solution

The fourth proportional to 201,805.85, 302,667.50 and 75,422.77 is: 113,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,805.85 : 302,667.50 = 75,422.77 : x
  2. Step 2: Convert to fraction form
    201,805.85/302,667.50 = 75,422.77/x
  3. Step 3: Cross multiply
    201,805.85x = 302,667.50 × 75,422.77
  4. Step 4: Simplify right side
    201,805.85x = 22,828,020,670.86
  5. Step 5: Solve for x
    x = 22,828,020,670.86/201,805.85
  6. Step 6: Final answer
    x = 113,118.72

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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.