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Finding the Fourth Proportional to 146,601.70, 202,329.40 and 82,095.50

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Solution

The fourth proportional to 146,601.70, 202,329.40 and 82,095.50 is: 113,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,601.70 : 202,329.40 = 82,095.50 : x
  2. Step 2: Convert to fraction form
    146,601.70/202,329.40 = 82,095.50/x
  3. Step 3: Cross multiply
    146,601.70x = 202,329.40 × 82,095.50
  4. Step 4: Simplify right side
    146,601.70x = 16,610,332,040.81
  5. Step 5: Solve for x
    x = 16,610,332,040.81/146,601.70
  6. Step 6: Final answer
    x = 113,302.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.