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Finding the Fourth Proportional to 200,624, 276,861.60 and 111,200

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Solution

The fourth proportional to 200,624, 276,861.60 and 111,200 is: 153,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,624 : 276,861.60 = 111,200 : x
  2. Step 2: Convert to fraction form
    200,624/276,861.60 = 111,200/x
  3. Step 3: Cross multiply
    200,624x = 276,861.60 × 111,200
  4. Step 4: Simplify right side
    200,624x = 30,787,009,920.00
  5. Step 5: Solve for x
    x = 30,787,009,920.00/200,624
  6. Step 6: Final answer
    x = 153,456.27

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