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Finding the Fourth Proportional to 102,219.89, 153,274.22 and 35,642.21

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Solution

The fourth proportional to 102,219.89, 153,274.22 and 35,642.21 is: 53,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,219.89 : 153,274.22 = 35,642.21 : x
  2. Step 2: Convert to fraction form
    102,219.89/153,274.22 = 35,642.21/x
  3. Step 3: Cross multiply
    102,219.89x = 153,274.22 × 35,642.21
  4. Step 4: Simplify right side
    102,219.89x = 5,463,031,758.62
  5. Step 5: Solve for x
    x = 5,463,031,758.62/102,219.89
  6. Step 6: Final answer
    x = 53,443.92

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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.