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Finding the Fourth Proportional to 102,000.47, 153,000.50 and 27,120.62

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Solution

The fourth proportional to 102,000.47, 153,000.50 and 27,120.62 is: 40,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000.47 : 153,000.50 = 27,120.62 : x
  2. Step 2: Convert to fraction form
    102,000.47/153,000.50 = 27,120.62/x
  3. Step 3: Cross multiply
    102,000.47x = 153,000.50 × 27,120.62
  4. Step 4: Simplify right side
    102,000.47x = 4,149,468,667.21
  5. Step 5: Solve for x
    x = 4,149,468,667.21/102,000.47
  6. Step 6: Final answer
    x = 40,680.88

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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.