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Finding the Fourth Proportional to 201,658.14, 302,399.64 and 61,383.96

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Solution

The fourth proportional to 201,658.14, 302,399.64 and 61,383.96 is: 92,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,658.14 : 302,399.64 = 61,383.96 : x
  2. Step 2: Convert to fraction form
    201,658.14/302,399.64 = 61,383.96/x
  3. Step 3: Cross multiply
    201,658.14x = 302,399.64 × 61,383.96
  4. Step 4: Simplify right side
    201,658.14x = 18,562,487,405.77
  5. Step 5: Solve for x
    x = 18,562,487,405.77/201,658.14
  6. Step 6: Final answer
    x = 92,049.28

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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.