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Finding the Fourth Proportional to 188,172.63, 282,314.31 and 75,795.01

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Solution

The fourth proportional to 188,172.63, 282,314.31 and 75,795.01 is: 113,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,172.63 : 282,314.31 = 75,795.01 : x
  2. Step 2: Convert to fraction form
    188,172.63/282,314.31 = 75,795.01/x
  3. Step 3: Cross multiply
    188,172.63x = 282,314.31 × 75,795.01
  4. Step 4: Simplify right side
    188,172.63x = 21,398,015,949.59
  5. Step 5: Solve for x
    x = 21,398,015,949.59/188,172.63
  6. Step 6: Final answer
    x = 113,714.82

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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.