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Finding the Fourth Proportional to 236,445.44, 326,348.16 and 161,024

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Solution

The fourth proportional to 236,445.44, 326,348.16 and 161,024 is: 222,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,445.44 : 326,348.16 = 161,024 : x
  2. Step 2: Convert to fraction form
    236,445.44/326,348.16 = 161,024/x
  3. Step 3: Cross multiply
    236,445.44x = 326,348.16 × 161,024
  4. Step 4: Simplify right side
    236,445.44x = 52,549,886,115.84
  5. Step 5: Solve for x
    x = 52,549,886,115.84/236,445.44
  6. Step 6: Final answer
    x = 222,249.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.