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Finding the Fourth Proportional to 200,866, 277,196.16 and 110,230.60

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Solution

The fourth proportional to 200,866, 277,196.16 and 110,230.60 is: 152,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866 : 277,196.16 = 110,230.60 : x
  2. Step 2: Convert to fraction form
    200,866/277,196.16 = 110,230.60/x
  3. Step 3: Cross multiply
    200,866x = 277,196.16 × 110,230.60
  4. Step 4: Simplify right side
    200,866x = 30,555,499,034.50
  5. Step 5: Solve for x
    x = 30,555,499,034.50/200,866
  6. Step 6: Final answer
    x = 152,118.82

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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.