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Finding the Fourth Proportional to 201,605.90, 302,408.85 and 149,117.90

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Solution

The fourth proportional to 201,605.90, 302,408.85 and 149,117.90 is: 223,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,605.90 : 302,408.85 = 149,117.90 : x
  2. Step 2: Convert to fraction form
    201,605.90/302,408.85 = 149,117.90/x
  3. Step 3: Cross multiply
    201,605.90x = 302,408.85 × 149,117.90
  4. Step 4: Simplify right side
    201,605.90x = 45,094,572,653.42
  5. Step 5: Solve for x
    x = 45,094,572,653.42/201,605.90
  6. Step 6: Final answer
    x = 223,676.85

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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.