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Finding the Fourth Proportional to 471,123.34, 706,689.16 and 134,163.72

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Solution

The fourth proportional to 471,123.34, 706,689.16 and 134,163.72 is: 201,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,123.34 : 706,689.16 = 134,163.72 : x
  2. Step 2: Convert to fraction form
    471,123.34/706,689.16 = 134,163.72/x
  3. Step 3: Cross multiply
    471,123.34x = 706,689.16 × 134,163.72
  4. Step 4: Simplify right side
    471,123.34x = 94,812,046,589.28
  5. Step 5: Solve for x
    x = 94,812,046,589.28/471,123.34
  6. Step 6: Final answer
    x = 201,246.76

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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.