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Finding the Fourth Proportional to 200,353, 276,495.78 and 110,929

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Solution

The fourth proportional to 200,353, 276,495.78 and 110,929 is: 153,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,353 : 276,495.78 = 110,929 : x
  2. Step 2: Convert to fraction form
    200,353/276,495.78 = 110,929/x
  3. Step 3: Cross multiply
    200,353x = 276,495.78 × 110,929
  4. Step 4: Simplify right side
    200,353x = 30,671,400,379.62
  5. Step 5: Solve for x
    x = 30,671,400,379.62/200,353
  6. Step 6: Final answer
    x = 153,086.80

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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.