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Finding the Fourth Proportional to 232,097.44, 320,293.92 and 131,495.44

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Solution

The fourth proportional to 232,097.44, 320,293.92 and 131,495.44 is: 181,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,097.44 : 320,293.92 = 131,495.44 : x
  2. Step 2: Convert to fraction form
    232,097.44/320,293.92 = 131,495.44/x
  3. Step 3: Cross multiply
    232,097.44x = 320,293.92 × 131,495.44
  4. Step 4: Simplify right side
    232,097.44x = 42,117,189,939.72
  5. Step 5: Solve for x
    x = 42,117,189,939.72/232,097.44
  6. Step 6: Final answer
    x = 181,463.40

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1.5x scale

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.