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Finding the Fourth Proportional to 202,415.10, 303,476.85 and 113,695.80

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Solution

The fourth proportional to 202,415.10, 303,476.85 and 113,695.80 is: 170,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,415.10 : 303,476.85 = 113,695.80 : x
  2. Step 2: Convert to fraction form
    202,415.10/303,476.85 = 113,695.80/x
  3. Step 3: Cross multiply
    202,415.10x = 303,476.85 × 113,695.80
  4. Step 4: Simplify right side
    202,415.10x = 34,504,043,242.23
  5. Step 5: Solve for x
    x = 34,504,043,242.23/202,415.10
  6. Step 6: Final answer
    x = 170,461.80

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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.