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Finding the Fourth Proportional to 232,407.80, 348,093.30 and 190,935.80

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Solution

The fourth proportional to 232,407.80, 348,093.30 and 190,935.80 is: 285,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,407.80 : 348,093.30 = 190,935.80 : x
  2. Step 2: Convert to fraction form
    232,407.80/348,093.30 = 190,935.80/x
  3. Step 3: Cross multiply
    232,407.80x = 348,093.30 × 190,935.80
  4. Step 4: Simplify right side
    232,407.80x = 66,463,472,710.14
  5. Step 5: Solve for x
    x = 66,463,472,710.14/232,407.80
  6. Step 6: Final answer
    x = 285,977.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.