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Finding the Fourth Proportional to 201,157.42, 301,736.06 and 51,397.98

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Solution

The fourth proportional to 201,157.42, 301,736.06 and 51,397.98 is: 77,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,157.42 : 301,736.06 = 51,397.98 : x
  2. Step 2: Convert to fraction form
    201,157.42/301,736.06 = 51,397.98/x
  3. Step 3: Cross multiply
    201,157.42x = 301,736.06 × 51,397.98
  4. Step 4: Simplify right side
    201,157.42x = 15,508,623,977.16
  5. Step 5: Solve for x
    x = 15,508,623,977.16/201,157.42
  6. Step 6: Final answer
    x = 77,096.95

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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.