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Finding the Fourth Proportional to 201,989.50, 302,983.74 and 59,845.84

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Solution

The fourth proportional to 201,989.50, 302,983.74 and 59,845.84 is: 89,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,989.50 : 302,983.74 = 59,845.84 : x
  2. Step 2: Convert to fraction form
    201,989.50/302,983.74 = 59,845.84/x
  3. Step 3: Cross multiply
    201,989.50x = 302,983.74 × 59,845.84
  4. Step 4: Simplify right side
    201,989.50x = 18,132,315,669.18
  5. Step 5: Solve for x
    x = 18,132,315,669.18/201,989.50
  6. Step 6: Final answer
    x = 89,768.61

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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.