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Finding the Fourth Proportional to 201,241.46, 301,872.53 and 51,483.04

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Solution

The fourth proportional to 201,241.46, 301,872.53 and 51,483.04 is: 77,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,241.46 : 301,872.53 = 51,483.04 : x
  2. Step 2: Convert to fraction form
    201,241.46/301,872.53 = 51,483.04/x
  3. Step 3: Cross multiply
    201,241.46x = 301,872.53 × 51,483.04
  4. Step 4: Simplify right side
    201,241.46x = 15,541,316,464.15
  5. Step 5: Solve for x
    x = 15,541,316,464.15/201,241.46
  6. Step 6: Final answer
    x = 77,227.21

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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.