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Finding the Fourth Proportional to 213,613.38, 320,416.56 and 87,225.84

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Solution

The fourth proportional to 213,613.38, 320,416.56 and 87,225.84 is: 130,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,613.38 : 320,416.56 = 87,225.84 : x
  2. Step 2: Convert to fraction form
    213,613.38/320,416.56 = 87,225.84/x
  3. Step 3: Cross multiply
    213,613.38x = 320,416.56 × 87,225.84
  4. Step 4: Simplify right side
    213,613.38x = 27,948,603,595.91
  5. Step 5: Solve for x
    x = 27,948,603,595.91/213,613.38
  6. Step 6: Final answer
    x = 130,837.33

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