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Finding the Fourth Proportional to 208,551.93, 312,080.55 and 180,568.65

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Solution

The fourth proportional to 208,551.93, 312,080.55 and 180,568.65 is: 270,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,551.93 : 312,080.55 = 180,568.65 : x
  2. Step 2: Convert to fraction form
    208,551.93/312,080.55 = 180,568.65/x
  3. Step 3: Cross multiply
    208,551.93x = 312,080.55 × 180,568.65
  4. Step 4: Simplify right side
    208,551.93x = 56,351,963,604.76
  5. Step 5: Solve for x
    x = 56,351,963,604.76/208,551.93
  6. Step 6: Final answer
    x = 270,205.91

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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.