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Finding the Fourth Proportional to 231,965.60, 320,266.05 and 178,154.06

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Solution

The fourth proportional to 231,965.60, 320,266.05 and 178,154.06 is: 245,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,965.60 : 320,266.05 = 178,154.06 : x
  2. Step 2: Convert to fraction form
    231,965.60/320,266.05 = 178,154.06/x
  3. Step 3: Cross multiply
    231,965.60x = 320,266.05 × 178,154.06
  4. Step 4: Simplify right side
    231,965.60x = 57,056,697,087.66
  5. Step 5: Solve for x
    x = 57,056,697,087.66/231,965.60
  6. Step 6: Final answer
    x = 245,970.51

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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.