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Finding the Fourth Proportional to 190,886.40, 263,412 and 105,998.40

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Solution

The fourth proportional to 190,886.40, 263,412 and 105,998.40 is: 146,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,886.40 : 263,412 = 105,998.40 : x
  2. Step 2: Convert to fraction form
    190,886.40/263,412 = 105,998.40/x
  3. Step 3: Cross multiply
    190,886.40x = 263,412 × 105,998.40
  4. Step 4: Simplify right side
    190,886.40x = 27,921,250,540.80
  5. Step 5: Solve for x
    x = 27,921,250,540.80/190,886.40
  6. Step 6: Final answer
    x = 146,271.55

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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.