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Finding the Fourth Proportional to 207,754.44, 287,185.20 and 185,315.82

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Solution

The fourth proportional to 207,754.44, 287,185.20 and 185,315.82 is: 256,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,754.44 : 287,185.20 = 185,315.82 : x
  2. Step 2: Convert to fraction form
    207,754.44/287,185.20 = 185,315.82/x
  3. Step 3: Cross multiply
    207,754.44x = 287,185.20 × 185,315.82
  4. Step 4: Simplify right side
    207,754.44x = 53,219,960,829.86
  5. Step 5: Solve for x
    x = 53,219,960,829.86/207,754.44
  6. Step 6: Final answer
    x = 256,167.62

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Why These Related Problems?

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