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Finding the Fourth Proportional to 164,581.81, 246,872.72 and 46,253.15

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Solution

The fourth proportional to 164,581.81, 246,872.72 and 46,253.15 is: 69,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,581.81 : 246,872.72 = 46,253.15 : x
  2. Step 2: Convert to fraction form
    164,581.81/246,872.72 = 46,253.15/x
  3. Step 3: Cross multiply
    164,581.81x = 246,872.72 × 46,253.15
  4. Step 4: Simplify right side
    164,581.81x = 11,418,641,667.52
  5. Step 5: Solve for x
    x = 11,418,641,667.52/164,581.81
  6. Step 6: Final answer
    x = 69,379.73

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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.