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Finding the Fourth Proportional to 195,472.32, 269,752.32 and 106,048.32

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Solution

The fourth proportional to 195,472.32, 269,752.32 and 106,048.32 is: 146,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,472.32 : 269,752.32 = 106,048.32 : x
  2. Step 2: Convert to fraction form
    195,472.32/269,752.32 = 106,048.32/x
  3. Step 3: Cross multiply
    195,472.32x = 269,752.32 × 106,048.32
  4. Step 4: Simplify right side
    195,472.32x = 28,606,780,352.10
  5. Step 5: Solve for x
    x = 28,606,780,352.10/195,472.32
  6. Step 6: Final answer
    x = 146,346.96

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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.