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Finding the Fourth Proportional to 146,465.40, 202,130.96 and 82,809.12

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Solution

The fourth proportional to 146,465.40, 202,130.96 and 82,809.12 is: 114,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,465.40 : 202,130.96 = 82,809.12 : x
  2. Step 2: Convert to fraction form
    146,465.40/202,130.96 = 82,809.12/x
  3. Step 3: Cross multiply
    146,465.40x = 202,130.96 × 82,809.12
  4. Step 4: Simplify right side
    146,465.40x = 16,738,286,922.36
  5. Step 5: Solve for x
    x = 16,738,286,922.36/146,465.40
  6. Step 6: Final answer
    x = 114,281.51

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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.