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Finding the Fourth Proportional to 264,167.87, 364,551.65 and 150,993.05

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Solution

The fourth proportional to 264,167.87, 364,551.65 and 150,993.05 is: 208,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,167.87 : 364,551.65 = 150,993.05 : x
  2. Step 2: Convert to fraction form
    264,167.87/364,551.65 = 150,993.05/x
  3. Step 3: Cross multiply
    264,167.87x = 364,551.65 × 150,993.05
  4. Step 4: Simplify right side
    264,167.87x = 55,044,765,516.03
  5. Step 5: Solve for x
    x = 55,044,765,516.03/264,167.87
  6. Step 6: Final answer
    x = 208,370.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.