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Finding the Fourth Proportional to 255,169.94, 382,317.50 and 180,155.84

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Solution

The fourth proportional to 255,169.94, 382,317.50 and 180,155.84 is: 269,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,169.94 : 382,317.50 = 180,155.84 : x
  2. Step 2: Convert to fraction form
    255,169.94/382,317.50 = 180,155.84/x
  3. Step 3: Cross multiply
    255,169.94x = 382,317.50 × 180,155.84
  4. Step 4: Simplify right side
    255,169.94x = 68,876,728,898.00
  5. Step 5: Solve for x
    x = 68,876,728,898.00/255,169.94
  6. Step 6: Final answer
    x = 269,924.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.