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Finding the Fourth Proportional to 195,504, 269,795.52 and 106,080

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Solution

The fourth proportional to 195,504, 269,795.52 and 106,080 is: 146,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,504 : 269,795.52 = 106,080 : x
  2. Step 2: Convert to fraction form
    195,504/269,795.52 = 106,080/x
  3. Step 3: Cross multiply
    195,504x = 269,795.52 × 106,080
  4. Step 4: Simplify right side
    195,504x = 28,619,908,761.60
  5. Step 5: Solve for x
    x = 28,619,908,761.60/195,504
  6. Step 6: Final answer
    x = 146,390.40

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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.