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Finding the Fourth Proportional to 201,082.68, 301,623.75 and 51,322.95

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Solution

The fourth proportional to 201,082.68, 301,623.75 and 51,322.95 is: 76,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,082.68 : 301,623.75 = 51,322.95 : x
  2. Step 2: Convert to fraction form
    201,082.68/301,623.75 = 51,322.95/x
  3. Step 3: Cross multiply
    201,082.68x = 301,623.75 × 51,322.95
  4. Step 4: Simplify right side
    201,082.68x = 15,480,220,640.06
  5. Step 5: Solve for x
    x = 15,480,220,640.06/201,082.68
  6. Step 6: Final answer
    x = 76,984.36

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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.