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Finding the Fourth Proportional to 189,223.16, 282,608.44 and 171,418.23

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Solution

The fourth proportional to 189,223.16, 282,608.44 and 171,418.23 is: 256,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,223.16 : 282,608.44 = 171,418.23 : x
  2. Step 2: Convert to fraction form
    189,223.16/282,608.44 = 171,418.23/x
  3. Step 3: Cross multiply
    189,223.16x = 282,608.44 × 171,418.23
  4. Step 4: Simplify right side
    189,223.16x = 48,444,238,139.32
  5. Step 5: Solve for x
    x = 48,444,238,139.32/189,223.16
  6. Step 6: Final answer
    x = 256,016.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.