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Finding the Fourth Proportional to 146,740.34, 202,502.43 and 83,090.54

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Solution

The fourth proportional to 146,740.34, 202,502.43 and 83,090.54 is: 114,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,740.34 : 202,502.43 = 83,090.54 : x
  2. Step 2: Convert to fraction form
    146,740.34/202,502.43 = 83,090.54/x
  3. Step 3: Cross multiply
    146,740.34x = 202,502.43 × 83,090.54
  4. Step 4: Simplify right side
    146,740.34x = 16,826,036,766.27
  5. Step 5: Solve for x
    x = 16,826,036,766.27/146,740.34
  6. Step 6: Final answer
    x = 114,665.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.