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Finding the Fourth Proportional to 188,841.28, 283,164.30 and 55,704.54

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Solution

The fourth proportional to 188,841.28, 283,164.30 and 55,704.54 is: 83,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,841.28 : 283,164.30 = 55,704.54 : x
  2. Step 2: Convert to fraction form
    188,841.28/283,164.30 = 55,704.54/x
  3. Step 3: Cross multiply
    188,841.28x = 283,164.30 × 55,704.54
  4. Step 4: Simplify right side
    188,841.28x = 15,773,537,075.92
  5. Step 5: Solve for x
    x = 15,773,537,075.92/188,841.28
  6. Step 6: Final answer
    x = 83,528.01

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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.