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Finding the Fourth Proportional to 190,642.62, 263,086.92 and 105,759.76

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Solution

The fourth proportional to 190,642.62, 263,086.92 and 105,759.76 is: 145,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,642.62 : 263,086.92 = 105,759.76 : x
  2. Step 2: Convert to fraction form
    190,642.62/263,086.92 = 105,759.76/x
  3. Step 3: Cross multiply
    190,642.62x = 263,086.92 × 105,759.76
  4. Step 4: Simplify right side
    190,642.62x = 27,824,009,518.34
  5. Step 5: Solve for x
    x = 27,824,009,518.34/190,642.62
  6. Step 6: Final answer
    x = 145,948.53

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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.