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Finding the Fourth Proportional to 204,561.48, 306,828.72 and 98,021.64

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Solution

The fourth proportional to 204,561.48, 306,828.72 and 98,021.64 is: 147,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,561.48 : 306,828.72 = 98,021.64 : x
  2. Step 2: Convert to fraction form
    204,561.48/306,828.72 = 98,021.64/x
  3. Step 3: Cross multiply
    204,561.48x = 306,828.72 × 98,021.64
  4. Step 4: Simplify right side
    204,561.48x = 30,075,854,333.50
  5. Step 5: Solve for x
    x = 30,075,854,333.50/204,561.48
  6. Step 6: Final answer
    x = 147,025.99

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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.