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Finding the Fourth Proportional to 211,971.89, 292,517.89 and 116,476.54

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Solution

The fourth proportional to 211,971.89, 292,517.89 and 116,476.54 is: 160,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,971.89 : 292,517.89 = 116,476.54 : x
  2. Step 2: Convert to fraction form
    211,971.89/292,517.89 = 116,476.54/x
  3. Step 3: Cross multiply
    211,971.89x = 292,517.89 × 116,476.54
  4. Step 4: Simplify right side
    211,971.89x = 34,071,470,692.81
  5. Step 5: Solve for x
    x = 34,071,470,692.81/211,971.89
  6. Step 6: Final answer
    x = 160,735.80

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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.