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Finding the Fourth Proportional to 201,412.48, 301,911.36 and 107,893.12

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Solution

The fourth proportional to 201,412.48, 301,911.36 and 107,893.12 is: 161,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,412.48 : 301,911.36 = 107,893.12 : x
  2. Step 2: Convert to fraction form
    201,412.48/301,911.36 = 107,893.12/x
  3. Step 3: Cross multiply
    201,412.48x = 301,911.36 × 107,893.12
  4. Step 4: Simplify right side
    201,412.48x = 32,574,158,593.84
  5. Step 5: Solve for x
    x = 32,574,158,593.84/201,412.48
  6. Step 6: Final answer
    x = 161,728.60

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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.