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Finding the Fourth Proportional to 212,776.68, 319,175.96 and 55,006.50

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Solution

The fourth proportional to 212,776.68, 319,175.96 and 55,006.50 is: 82,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,776.68 : 319,175.96 = 55,006.50 : x
  2. Step 2: Convert to fraction form
    212,776.68/319,175.96 = 55,006.50/x
  3. Step 3: Cross multiply
    212,776.68x = 319,175.96 × 55,006.50
  4. Step 4: Simplify right side
    212,776.68x = 17,556,752,168.71
  5. Step 5: Solve for x
    x = 17,556,752,168.71/212,776.68
  6. Step 6: Final answer
    x = 82,512.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.