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Finding the Fourth Proportional to 201,616, 302,336.64 and 61,342.08

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Solution

The fourth proportional to 201,616, 302,336.64 and 61,342.08 is: 91,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,616 : 302,336.64 = 61,342.08 : x
  2. Step 2: Convert to fraction form
    201,616/302,336.64 = 61,342.08/x
  3. Step 3: Cross multiply
    201,616x = 302,336.64 × 61,342.08
  4. Step 4: Simplify right side
    201,616x = 18,545,958,357.81
  5. Step 5: Solve for x
    x = 18,545,958,357.81/201,616
  6. Step 6: Final answer
    x = 91,986.54

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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.