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Finding the Fourth Proportional to 203,444.09, 280,696.52 and 117,397.08

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Solution

The fourth proportional to 203,444.09, 280,696.52 and 117,397.08 is: 161,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,444.09 : 280,696.52 = 117,397.08 : x
  2. Step 2: Convert to fraction form
    203,444.09/280,696.52 = 117,397.08/x
  3. Step 3: Cross multiply
    203,444.09x = 280,696.52 × 117,397.08
  4. Step 4: Simplify right side
    203,444.09x = 32,952,952,107.65
  5. Step 5: Solve for x
    x = 32,952,952,107.65/203,444.09
  6. Step 6: Final answer
    x = 161,975.47

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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.