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Finding the Fourth Proportional to 201,858, 302,781.24 and 61,596.24

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Solution

The fourth proportional to 201,858, 302,781.24 and 61,596.24 is: 92,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,858 : 302,781.24 = 61,596.24 : x
  2. Step 2: Convert to fraction form
    201,858/302,781.24 = 61,596.24/x
  3. Step 3: Cross multiply
    201,858x = 302,781.24 × 61,596.24
  4. Step 4: Simplify right side
    201,858x = 18,650,185,926.54
  5. Step 5: Solve for x
    x = 18,650,185,926.54/201,858
  6. Step 6: Final answer
    x = 92,392.60

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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.