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Finding the Fourth Proportional to 201,136, 301,742.84 and 76,467.28

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Solution

The fourth proportional to 201,136, 301,742.84 and 76,467.28 is: 114,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,136 : 301,742.84 = 76,467.28 : x
  2. Step 2: Convert to fraction form
    201,136/301,742.84 = 76,467.28/x
  3. Step 3: Cross multiply
    201,136x = 301,742.84 × 76,467.28
  4. Step 4: Simplify right side
    201,136x = 23,073,454,234.28
  5. Step 5: Solve for x
    x = 23,073,454,234.28/201,136
  6. Step 6: Final answer
    x = 114,715.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.