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Finding the Fourth Proportional to 201,642.56, 302,463.83 and 188,355.32

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Solution

The fourth proportional to 201,642.56, 302,463.83 and 188,355.32 is: 282,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642.56 : 302,463.83 = 188,355.32 : x
  2. Step 2: Convert to fraction form
    201,642.56/302,463.83 = 188,355.32/x
  3. Step 3: Cross multiply
    201,642.56x = 302,463.83 × 188,355.32
  4. Step 4: Simplify right side
    201,642.56x = 56,970,670,446.64
  5. Step 5: Solve for x
    x = 56,970,670,446.64/201,642.56
  6. Step 6: Final answer
    x = 282,532.97

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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.