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Finding the Fourth Proportional to 201,071.14, 301,606.54 and 51,311.44

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Solution

The fourth proportional to 201,071.14, 301,606.54 and 51,311.44 is: 76,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,071.14 : 301,606.54 = 51,311.44 : x
  2. Step 2: Convert to fraction form
    201,071.14/301,606.54 = 51,311.44/x
  3. Step 3: Cross multiply
    201,071.14x = 301,606.54 × 51,311.44
  4. Step 4: Simplify right side
    201,071.14x = 15,475,865,880.82
  5. Step 5: Solve for x
    x = 15,475,865,880.82/201,071.14
  6. Step 6: Final answer
    x = 76,967.12

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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.