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Finding the Fourth Proportional to 197,482.32, 272,524.44 and 106,838

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Solution

The fourth proportional to 197,482.32, 272,524.44 and 106,838 is: 147,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,482.32 : 272,524.44 = 106,838 : x
  2. Step 2: Convert to fraction form
    197,482.32/272,524.44 = 106,838/x
  3. Step 3: Cross multiply
    197,482.32x = 272,524.44 × 106,838
  4. Step 4: Simplify right side
    197,482.32x = 29,115,966,120.72
  5. Step 5: Solve for x
    x = 29,115,966,120.72/197,482.32
  6. Step 6: Final answer
    x = 147,435.81

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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.