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Finding the Fourth Proportional to 257,315.85, 355,091.99 and 144,142.65

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Solution

The fourth proportional to 257,315.85, 355,091.99 and 144,142.65 is: 198,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,315.85 : 355,091.99 = 144,142.65 : x
  2. Step 2: Convert to fraction form
    257,315.85/355,091.99 = 144,142.65/x
  3. Step 3: Cross multiply
    257,315.85x = 355,091.99 × 144,142.65
  4. Step 4: Simplify right side
    257,315.85x = 51,183,899,711.66
  5. Step 5: Solve for x
    x = 51,183,899,711.66/257,315.85
  6. Step 6: Final answer
    x = 198,914.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.