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Finding the Fourth Proportional to 188,734, 283,144.74 and 64,075

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Solution

The fourth proportional to 188,734, 283,144.74 and 64,075 is: 96,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,734 : 283,144.74 = 64,075 : x
  2. Step 2: Convert to fraction form
    188,734/283,144.74 = 64,075/x
  3. Step 3: Cross multiply
    188,734x = 283,144.74 × 64,075
  4. Step 4: Simplify right side
    188,734x = 18,142,499,215.50
  5. Step 5: Solve for x
    x = 18,142,499,215.50/188,734
  6. Step 6: Final answer
    x = 96,127.35

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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.