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Finding the Fourth Proportional to 203,848.53, 305,696.25 and 70,696.68

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Solution

The fourth proportional to 203,848.53, 305,696.25 and 70,696.68 is: 106,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,848.53 : 305,696.25 = 70,696.68 : x
  2. Step 2: Convert to fraction form
    203,848.53/305,696.25 = 70,696.68/x
  3. Step 3: Cross multiply
    203,848.53x = 305,696.25 × 70,696.68
  4. Step 4: Simplify right side
    203,848.53x = 21,611,709,963.45
  5. Step 5: Solve for x
    x = 21,611,709,963.45/203,848.53
  6. Step 6: Final answer
    x = 106,018.47

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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.