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Finding the Fourth Proportional to 201,224.25, 301,978.53 and 96,051.42

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Solution

The fourth proportional to 201,224.25, 301,978.53 and 96,051.42 is: 144,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,224.25 : 301,978.53 = 96,051.42 : x
  2. Step 2: Convert to fraction form
    201,224.25/301,978.53 = 96,051.42/x
  3. Step 3: Cross multiply
    201,224.25x = 301,978.53 × 96,051.42
  4. Step 4: Simplify right side
    201,224.25x = 29,005,466,616.01
  5. Step 5: Solve for x
    x = 29,005,466,616.01/201,224.25
  6. Step 6: Final answer
    x = 144,144.99

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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.