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Finding the Fourth Proportional to 146,368.38, 201,998.70 and 82,712.10

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Solution

The fourth proportional to 146,368.38, 201,998.70 and 82,712.10 is: 114,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,368.38 : 201,998.70 = 82,712.10 : x
  2. Step 2: Convert to fraction form
    146,368.38/201,998.70 = 82,712.10/x
  3. Step 3: Cross multiply
    146,368.38x = 201,998.70 × 82,712.10
  4. Step 4: Simplify right side
    146,368.38x = 16,707,736,674.27
  5. Step 5: Solve for x
    x = 16,707,736,674.27/146,368.38
  6. Step 6: Final answer
    x = 114,148.54

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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.