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Finding the Fourth Proportional to 232,003.44, 320,046.84 and 144,716.40

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Solution

The fourth proportional to 232,003.44, 320,046.84 and 144,716.40 is: 199,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,003.44 : 320,046.84 = 144,716.40 : x
  2. Step 2: Convert to fraction form
    232,003.44/320,046.84 = 144,716.40/x
  3. Step 3: Cross multiply
    232,003.44x = 320,046.84 × 144,716.40
  4. Step 4: Simplify right side
    232,003.44x = 46,316,026,516.18
  5. Step 5: Solve for x
    x = 46,316,026,516.18/232,003.44
  6. Step 6: Final answer
    x = 199,635.09

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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.