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Finding the Fourth Proportional to 471,049.54, 706,468.14 and 134,082.72

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Solution

The fourth proportional to 471,049.54, 706,468.14 and 134,082.72 is: 201,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,049.54 : 706,468.14 = 134,082.72 : x
  2. Step 2: Convert to fraction form
    471,049.54/706,468.14 = 134,082.72/x
  3. Step 3: Cross multiply
    471,049.54x = 706,468.14 × 134,082.72
  4. Step 4: Simplify right side
    471,049.54x = 94,725,169,804.54
  5. Step 5: Solve for x
    x = 94,725,169,804.54/471,049.54
  6. Step 6: Final answer
    x = 201,093.86

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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.