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Finding the Fourth Proportional to 207,511.35, 285,762.68 and 180,275

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Solution

The fourth proportional to 207,511.35, 285,762.68 and 180,275 is: 248,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,511.35 : 285,762.68 = 180,275 : x
  2. Step 2: Convert to fraction form
    207,511.35/285,762.68 = 180,275/x
  3. Step 3: Cross multiply
    207,511.35x = 285,762.68 × 180,275
  4. Step 4: Simplify right side
    207,511.35x = 51,515,867,137
  5. Step 5: Solve for x
    x = 51,515,867,137/207,511.35
  6. Step 6: Final answer
    x = 248,255.66

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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.