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Finding the Fourth Proportional to 232,415.75, 320,733.78 and 131,813.75

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Solution

The fourth proportional to 232,415.75, 320,733.78 and 131,813.75 is: 181,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,415.75 : 320,733.78 = 131,813.75 : x
  2. Step 2: Convert to fraction form
    232,415.75/320,733.78 = 131,813.75/x
  3. Step 3: Cross multiply
    232,415.75x = 320,733.78 × 131,813.75
  4. Step 4: Simplify right side
    232,415.75x = 42,277,122,293.48
  5. Step 5: Solve for x
    x = 42,277,122,293.48/232,415.75
  6. Step 6: Final answer
    x = 181,903.00

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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.