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Finding the Fourth Proportional to 201,899.37, 302,838.12 and 61,647.06

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Solution

The fourth proportional to 201,899.37, 302,838.12 and 61,647.06 is: 92,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,899.37 : 302,838.12 = 61,647.06 : x
  2. Step 2: Convert to fraction form
    201,899.37/302,838.12 = 61,647.06/x
  3. Step 3: Cross multiply
    201,899.37x = 302,838.12 × 61,647.06
  4. Step 4: Simplify right side
    201,899.37x = 18,669,079,753.93
  5. Step 5: Solve for x
    x = 18,669,079,753.93/201,899.37
  6. Step 6: Final answer
    x = 92,467.25

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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.