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Finding the Fourth Proportional to 305,132.13, 421,096.19 and 174,321.32

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Solution

The fourth proportional to 305,132.13, 421,096.19 and 174,321.32 is: 240,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,132.13 : 421,096.19 = 174,321.32 : x
  2. Step 2: Convert to fraction form
    305,132.13/421,096.19 = 174,321.32/x
  3. Step 3: Cross multiply
    305,132.13x = 421,096.19 × 174,321.32
  4. Step 4: Simplify right side
    305,132.13x = 73,406,040,710.68
  5. Step 5: Solve for x
    x = 73,406,040,710.68/305,132.13
  6. Step 6: Final answer
    x = 240,571.32

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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.