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Finding the Fourth Proportional to 291,045.29, 436,794.19 and 133,282.67

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Solution

The fourth proportional to 291,045.29, 436,794.19 and 133,282.67 is: 200,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,045.29 : 436,794.19 = 133,282.67 : x
  2. Step 2: Convert to fraction form
    291,045.29/436,794.19 = 133,282.67/x
  3. Step 3: Cross multiply
    291,045.29x = 436,794.19 × 133,282.67
  4. Step 4: Simplify right side
    291,045.29x = 58,217,093,366.51
  5. Step 5: Solve for x
    x = 58,217,093,366.51/291,045.29
  6. Step 6: Final answer
    x = 200,027.61

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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.