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Finding the Fourth Proportional to 195,047.46, 269,119.80 and 114,470.82

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Solution

The fourth proportional to 195,047.46, 269,119.80 and 114,470.82 is: 157,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,047.46 : 269,119.80 = 114,470.82 : x
  2. Step 2: Convert to fraction form
    195,047.46/269,119.80 = 114,470.82/x
  3. Step 3: Cross multiply
    195,047.46x = 269,119.80 × 114,470.82
  4. Step 4: Simplify right side
    195,047.46x = 30,806,364,184.24
  5. Step 5: Solve for x
    x = 30,806,364,184.24/195,047.46
  6. Step 6: Final answer
    x = 157,942.91

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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.