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Finding the Fourth Proportional to 146,014, 201,498.96 and 78,946

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Solution

The fourth proportional to 146,014, 201,498.96 and 78,946 is: 108,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,014 : 201,498.96 = 78,946 : x
  2. Step 2: Convert to fraction form
    146,014/201,498.96 = 78,946/x
  3. Step 3: Cross multiply
    146,014x = 201,498.96 × 78,946
  4. Step 4: Simplify right side
    146,014x = 15,907,536,896.16
  5. Step 5: Solve for x
    x = 15,907,536,896.16/146,014
  6. Step 6: Final answer
    x = 108,945.29

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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.