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Finding the Fourth Proportional to 190,754.40, 285,886.80 and 106,514.40

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Solution

The fourth proportional to 190,754.40, 285,886.80 and 106,514.40 is: 159,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,754.40 : 285,886.80 = 106,514.40 : x
  2. Step 2: Convert to fraction form
    190,754.40/285,886.80 = 106,514.40/x
  3. Step 3: Cross multiply
    190,754.40x = 285,886.80 × 106,514.40
  4. Step 4: Simplify right side
    190,754.40x = 30,451,060,969.92
  5. Step 5: Solve for x
    x = 30,451,060,969.92/190,754.40
  6. Step 6: Final answer
    x = 159,634.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.