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Finding the Fourth Proportional to 102,086.41, 153,117.46 and 27,212.17

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Solution

The fourth proportional to 102,086.41, 153,117.46 and 27,212.17 is: 40,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,086.41 : 153,117.46 = 27,212.17 : x
  2. Step 2: Convert to fraction form
    102,086.41/153,117.46 = 27,212.17/x
  3. Step 3: Cross multiply
    102,086.41x = 153,117.46 × 27,212.17
  4. Step 4: Simplify right side
    102,086.41x = 4,166,658,351.49
  5. Step 5: Solve for x
    x = 4,166,658,351.49/102,086.41
  6. Step 6: Final answer
    x = 40,815.01

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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.