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Finding the Fourth Proportional to 204,715.50, 282,503.60 and 111,582.03

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Solution

The fourth proportional to 204,715.50, 282,503.60 and 111,582.03 is: 153,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,715.50 : 282,503.60 = 111,582.03 : x
  2. Step 2: Convert to fraction form
    204,715.50/282,503.60 = 111,582.03/x
  3. Step 3: Cross multiply
    204,715.50x = 282,503.60 × 111,582.03
  4. Step 4: Simplify right side
    204,715.50x = 31,522,324,501.14
  5. Step 5: Solve for x
    x = 31,522,324,501.14/204,715.50
  6. Step 6: Final answer
    x = 153,981.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.