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Finding the Fourth Proportional to 146,719.40, 202,473.38 and 83,069.48

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Solution

The fourth proportional to 146,719.40, 202,473.38 and 83,069.48 is: 114,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,719.40 : 202,473.38 = 83,069.48 : x
  2. Step 2: Convert to fraction form
    146,719.40/202,473.38 = 83,069.48/x
  3. Step 3: Cross multiply
    146,719.40x = 202,473.38 × 83,069.48
  4. Step 4: Simplify right side
    146,719.40x = 16,819,358,390.44
  5. Step 5: Solve for x
    x = 16,819,358,390.44/146,719.40
  6. Step 6: Final answer
    x = 114,636.23

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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.