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Finding the Fourth Proportional to 164,090.10, 246,135.15 and 146,375.40

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Solution

The fourth proportional to 164,090.10, 246,135.15 and 146,375.40 is: 219,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,090.10 : 246,135.15 = 146,375.40 : x
  2. Step 2: Convert to fraction form
    164,090.10/246,135.15 = 146,375.40/x
  3. Step 3: Cross multiply
    164,090.10x = 246,135.15 × 146,375.40
  4. Step 4: Simplify right side
    164,090.10x = 36,028,131,035.31
  5. Step 5: Solve for x
    x = 36,028,131,035.31/164,090.10
  6. Step 6: Final answer
    x = 219,563.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.