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Finding the Fourth Proportional to 195,464.32, 269,740.80 and 106,040.32

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Solution

The fourth proportional to 195,464.32, 269,740.80 and 106,040.32 is: 146,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,464.32 : 269,740.80 = 106,040.32 : x
  2. Step 2: Convert to fraction form
    195,464.32/269,740.80 = 106,040.32/x
  3. Step 3: Cross multiply
    195,464.32x = 269,740.80 × 106,040.32
  4. Step 4: Simplify right side
    195,464.32x = 28,603,400,749.06
  5. Step 5: Solve for x
    x = 28,603,400,749.06/195,464.32
  6. Step 6: Final answer
    x = 146,335.66

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1.5x scale

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.