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Finding the Fourth Proportional to 102,268.50, 153,409.75 and 34,773.06

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Solution

The fourth proportional to 102,268.50, 153,409.75 and 34,773.06 is: 52,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,268.50 : 153,409.75 = 34,773.06 : x
  2. Step 2: Convert to fraction form
    102,268.50/153,409.75 = 34,773.06/x
  3. Step 3: Cross multiply
    102,268.50x = 153,409.75 × 34,773.06
  4. Step 4: Simplify right side
    102,268.50x = 5,334,526,289.20
  5. Step 5: Solve for x
    x = 5,334,526,289.20/102,268.50
  6. Step 6: Final answer
    x = 52,161.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.