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Finding the Fourth Proportional to 164,435.40, 246,653.10 and 130,974.30

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Solution

The fourth proportional to 164,435.40, 246,653.10 and 130,974.30 is: 196,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,435.40 : 246,653.10 = 130,974.30 : x
  2. Step 2: Convert to fraction form
    164,435.40/246,653.10 = 130,974.30/x
  3. Step 3: Cross multiply
    164,435.40x = 246,653.10 × 130,974.30
  4. Step 4: Simplify right side
    164,435.40x = 32,305,217,115.33
  5. Step 5: Solve for x
    x = 32,305,217,115.33/164,435.40
  6. Step 6: Final answer
    x = 196,461.45

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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.