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Finding the Fourth Proportional to 219,049.32, 302,297.22 and 138,447.57

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Solution

The fourth proportional to 219,049.32, 302,297.22 and 138,447.57 is: 191,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,049.32 : 302,297.22 = 138,447.57 : x
  2. Step 2: Convert to fraction form
    219,049.32/302,297.22 = 138,447.57/x
  3. Step 3: Cross multiply
    219,049.32x = 302,297.22 × 138,447.57
  4. Step 4: Simplify right side
    219,049.32x = 41,852,315,526.76
  5. Step 5: Solve for x
    x = 41,852,315,526.76/219,049.32
  6. Step 6: Final answer
    x = 191,063.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.