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Finding the Fourth Proportional to 201,274.50, 301,922.01 and 51,516.02

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Solution

The fourth proportional to 201,274.50, 301,922.01 and 51,516.02 is: 77,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,274.50 : 301,922.01 = 51,516.02 : x
  2. Step 2: Convert to fraction form
    201,274.50/301,922.01 = 51,516.02/x
  3. Step 3: Cross multiply
    201,274.50x = 301,922.01 × 51,516.02
  4. Step 4: Simplify right side
    201,274.50x = 15,553,820,305.60
  5. Step 5: Solve for x
    x = 15,553,820,305.60/201,274.50
  6. Step 6: Final answer
    x = 77,276.66

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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.