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Finding the Fourth Proportional to 200,827.50, 277,132.77 and 110,181.59

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Solution

The fourth proportional to 200,827.50, 277,132.77 and 110,181.59 is: 152,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,827.50 : 277,132.77 = 110,181.59 : x
  2. Step 2: Convert to fraction form
    200,827.50/277,132.77 = 110,181.59/x
  3. Step 3: Cross multiply
    200,827.50x = 277,132.77 × 110,181.59
  4. Step 4: Simplify right side
    200,827.50x = 30,534,929,362.84
  5. Step 5: Solve for x
    x = 30,534,929,362.84/200,827.50
  6. Step 6: Final answer
    x = 152,045.56

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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.