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Finding the Fourth Proportional to 201,563.76, 302,362.40 and 61,323.60

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Solution

The fourth proportional to 201,563.76, 302,362.40 and 61,323.60 is: 91,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,563.76 : 302,362.40 = 61,323.60 : x
  2. Step 2: Convert to fraction form
    201,563.76/302,362.40 = 61,323.60/x
  3. Step 3: Cross multiply
    201,563.76x = 302,362.40 × 61,323.60
  4. Step 4: Simplify right side
    201,563.76x = 18,541,950,872.64
  5. Step 5: Solve for x
    x = 18,541,950,872.64/201,563.76
  6. Step 6: Final answer
    x = 91,990.50

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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.