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Finding the Fourth Proportional to 201,512.79, 302,231.59 and 81,538.30

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Solution

The fourth proportional to 201,512.79, 302,231.59 and 81,538.30 is: 122,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,512.79 : 302,231.59 = 81,538.30 : x
  2. Step 2: Convert to fraction form
    201,512.79/302,231.59 = 81,538.30/x
  3. Step 3: Cross multiply
    201,512.79x = 302,231.59 × 81,538.30
  4. Step 4: Simplify right side
    201,512.79x = 24,643,450,054.90
  5. Step 5: Solve for x
    x = 24,643,450,054.90/201,512.79
  6. Step 6: Final answer
    x = 122,292.24

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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.