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Finding the Fourth Proportional to 146,138.48, 201,676.32 and 84,880.16

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Solution

The fourth proportional to 146,138.48, 201,676.32 and 84,880.16 is: 117,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,138.48 : 201,676.32 = 84,880.16 : x
  2. Step 2: Convert to fraction form
    146,138.48/201,676.32 = 84,880.16/x
  3. Step 3: Cross multiply
    146,138.48x = 201,676.32 × 84,880.16
  4. Step 4: Simplify right side
    146,138.48x = 17,118,318,309.81
  5. Step 5: Solve for x
    x = 17,118,318,309.81/146,138.48
  6. Step 6: Final answer
    x = 117,137.65

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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.