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Finding the Fourth Proportional to 255,441.94, 383,162.67 and 120,474.52

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Solution

The fourth proportional to 255,441.94, 383,162.67 and 120,474.52 is: 180,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,441.94 : 383,162.67 = 120,474.52 : x
  2. Step 2: Convert to fraction form
    255,441.94/383,162.67 = 120,474.52/x
  3. Step 3: Cross multiply
    255,441.94x = 383,162.67 × 120,474.52
  4. Step 4: Simplify right side
    255,441.94x = 46,161,337,792.26
  5. Step 5: Solve for x
    x = 46,161,337,792.26/255,441.94
  6. Step 6: Final answer
    x = 180,711.66

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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.