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Finding the Fourth Proportional to 203,657.10, 305,485.38 and 114,870.30

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Solution

The fourth proportional to 203,657.10, 305,485.38 and 114,870.30 is: 172,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,657.10 : 305,485.38 = 114,870.30 : x
  2. Step 2: Convert to fraction form
    203,657.10/305,485.38 = 114,870.30/x
  3. Step 3: Cross multiply
    203,657.10x = 305,485.38 × 114,870.30
  4. Step 4: Simplify right side
    203,657.10x = 35,091,197,246.21
  5. Step 5: Solve for x
    x = 35,091,197,246.21/203,657.10
  6. Step 6: Final answer
    x = 172,305.30

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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.