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Finding the Fourth Proportional to 102,227.46, 153,170.82 and 35,630.88

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Solution

The fourth proportional to 102,227.46, 153,170.82 and 35,630.88 is: 53,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,227.46 : 153,170.82 = 35,630.88 : x
  2. Step 2: Convert to fraction form
    102,227.46/153,170.82 = 35,630.88/x
  3. Step 3: Cross multiply
    102,227.46x = 153,170.82 × 35,630.88
  4. Step 4: Simplify right side
    102,227.46x = 5,457,611,106.92
  5. Step 5: Solve for x
    x = 5,457,611,106.92/102,227.46
  6. Step 6: Final answer
    x = 53,386.94

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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.