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Finding the Fourth Proportional to 188,817.53, 283,228.11 and 53,881.45

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Solution

The fourth proportional to 188,817.53, 283,228.11 and 53,881.45 is: 80,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,817.53 : 283,228.11 = 53,881.45 : x
  2. Step 2: Convert to fraction form
    188,817.53/283,228.11 = 53,881.45/x
  3. Step 3: Cross multiply
    188,817.53x = 283,228.11 × 53,881.45
  4. Step 4: Simplify right side
    188,817.53x = 15,260,740,539.49
  5. Step 5: Solve for x
    x = 15,260,740,539.49/188,817.53
  6. Step 6: Final answer
    x = 80,822.69

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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.