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Finding the Fourth Proportional to 287,101.44, 430,850.88 and 167,356.80

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Solution

The fourth proportional to 287,101.44, 430,850.88 and 167,356.80 is: 251,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,101.44 : 430,850.88 = 167,356.80 : x
  2. Step 2: Convert to fraction form
    287,101.44/430,850.88 = 167,356.80/x
  3. Step 3: Cross multiply
    287,101.44x = 430,850.88 × 167,356.80
  4. Step 4: Simplify right side
    287,101.44x = 72,105,824,553.98
  5. Step 5: Solve for x
    x = 72,105,824,553.98/287,101.44
  6. Step 6: Final answer
    x = 251,151.04

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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.