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Finding the Fourth Proportional to 232,362.81, 348,474.42 and 82,583.42

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Solution

The fourth proportional to 232,362.81, 348,474.42 and 82,583.42 is: 123,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,362.81 : 348,474.42 = 82,583.42 : x
  2. Step 2: Convert to fraction form
    232,362.81/348,474.42 = 82,583.42/x
  3. Step 3: Cross multiply
    232,362.81x = 348,474.42 × 82,583.42
  4. Step 4: Simplify right side
    232,362.81x = 28,778,207,643.74
  5. Step 5: Solve for x
    x = 28,778,207,643.74/232,362.81
  6. Step 6: Final answer
    x = 123,850.32

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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.