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Finding the Fourth Proportional to 201,414.48, 301,914.36 and 107,895.12

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Solution

The fourth proportional to 201,414.48, 301,914.36 and 107,895.12 is: 161,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,414.48 : 301,914.36 = 107,895.12 : x
  2. Step 2: Convert to fraction form
    201,414.48/301,914.36 = 107,895.12/x
  3. Step 3: Cross multiply
    201,414.48x = 301,914.36 × 107,895.12
  4. Step 4: Simplify right side
    201,414.48x = 32,575,086,101.92
  5. Step 5: Solve for x
    x = 32,575,086,101.92/201,414.48
  6. Step 6: Final answer
    x = 161,731.60

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1.5x scale

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.