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Finding the Fourth Proportional to 195,471.32, 269,750.94 and 106,047.32

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Solution

The fourth proportional to 195,471.32, 269,750.94 and 106,047.32 is: 146,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,471.32 : 269,750.94 = 106,047.32 : x
  2. Step 2: Convert to fraction form
    195,471.32/269,750.94 = 106,047.32/x
  3. Step 3: Cross multiply
    195,471.32x = 269,750.94 × 106,047.32
  4. Step 4: Simplify right side
    195,471.32x = 28,606,364,254.48
  5. Step 5: Solve for x
    x = 28,606,364,254.48/195,471.32
  6. Step 6: Final answer
    x = 146,345.58

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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.