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Finding the Fourth Proportional to 402,102.29, 603,022.22 and 177,453.65

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Solution

The fourth proportional to 402,102.29, 603,022.22 and 177,453.65 is: 266,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,102.29 : 603,022.22 = 177,453.65 : x
  2. Step 2: Convert to fraction form
    402,102.29/603,022.22 = 177,453.65/x
  3. Step 3: Cross multiply
    402,102.29x = 603,022.22 × 177,453.65
  4. Step 4: Simplify right side
    402,102.29x = 107,008,495,255.84
  5. Step 5: Solve for x
    x = 107,008,495,255.84/402,102.29
  6. Step 6: Final answer
    x = 266,122.57

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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.