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Finding the Fourth Proportional to 146,683.22, 202,416.72 and 83,024.54

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Solution

The fourth proportional to 146,683.22, 202,416.72 and 83,024.54 is: 114,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,683.22 : 202,416.72 = 83,024.54 : x
  2. Step 2: Convert to fraction form
    146,683.22/202,416.72 = 83,024.54/x
  3. Step 3: Cross multiply
    146,683.22x = 202,416.72 × 83,024.54
  4. Step 4: Simplify right side
    146,683.22x = 16,805,555,066.31
  5. Step 5: Solve for x
    x = 16,805,555,066.31/146,683.22
  6. Step 6: Final answer
    x = 114,570.40

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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.