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Finding the Fourth Proportional to 102,228.84, 153,344.02 and 35,668.70

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Solution

The fourth proportional to 102,228.84, 153,344.02 and 35,668.70 is: 53,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,228.84 : 153,344.02 = 35,668.70 : x
  2. Step 2: Convert to fraction form
    102,228.84/153,344.02 = 35,668.70/x
  3. Step 3: Cross multiply
    102,228.84x = 153,344.02 × 35,668.70
  4. Step 4: Simplify right side
    102,228.84x = 5,469,581,846.17
  5. Step 5: Solve for x
    x = 5,469,581,846.17/102,228.84
  6. Step 6: Final answer
    x = 53,503.32

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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.