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Finding the Fourth Proportional to 146,777.32, 202,542.42 and 83,103.40

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Solution

The fourth proportional to 146,777.32, 202,542.42 and 83,103.40 is: 114,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,777.32 : 202,542.42 = 83,103.40 : x
  2. Step 2: Convert to fraction form
    146,777.32/202,542.42 = 83,103.40/x
  3. Step 3: Cross multiply
    146,777.32x = 202,542.42 × 83,103.40
  4. Step 4: Simplify right side
    146,777.32x = 16,831,963,746.23
  5. Step 5: Solve for x
    x = 16,831,963,746.23/146,777.32
  6. Step 6: Final answer
    x = 114,676.87

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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.