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Finding the Fourth Proportional to 102,064.46, 153,084.47 and 27,190.08

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Solution

The fourth proportional to 102,064.46, 153,084.47 and 27,190.08 is: 40,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064.46 : 153,084.47 = 27,190.08 : x
  2. Step 2: Convert to fraction form
    102,064.46/153,084.47 = 27,190.08/x
  3. Step 3: Cross multiply
    102,064.46x = 153,084.47 × 27,190.08
  4. Step 4: Simplify right side
    102,064.46x = 4,162,378,850.11
  5. Step 5: Solve for x
    x = 4,162,378,850.11/102,064.46
  6. Step 6: Final answer
    x = 40,781.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.