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Finding the Fourth Proportional to 208,824.80, 312,718.80 and 167,352.80

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Solution

The fourth proportional to 208,824.80, 312,718.80 and 167,352.80 is: 250,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,824.80 : 312,718.80 = 167,352.80 : x
  2. Step 2: Convert to fraction form
    208,824.80/312,718.80 = 167,352.80/x
  3. Step 3: Cross multiply
    208,824.80x = 312,718.80 × 167,352.80
  4. Step 4: Simplify right side
    208,824.80x = 52,334,366,792.64
  5. Step 5: Solve for x
    x = 52,334,366,792.64/208,824.80
  6. Step 6: Final answer
    x = 250,613.75

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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.