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Finding the Fourth Proportional to 188,305.50, 282,457.99 and 48,064.14

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Solution

The fourth proportional to 188,305.50, 282,457.99 and 48,064.14 is: 72,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,305.50 : 282,457.99 = 48,064.14 : x
  2. Step 2: Convert to fraction form
    188,305.50/282,457.99 = 48,064.14/x
  3. Step 3: Cross multiply
    188,305.50x = 282,457.99 × 48,064.14
  4. Step 4: Simplify right side
    188,305.50x = 13,576,100,375.48
  5. Step 5: Solve for x
    x = 13,576,100,375.48/188,305.50
  6. Step 6: Final answer
    x = 72,096.14

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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.