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Finding the Fourth Proportional to 105,903.84, 158,809.11 and 49,759.92

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Solution

The fourth proportional to 105,903.84, 158,809.11 and 49,759.92 is: 74,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,903.84 : 158,809.11 = 49,759.92 : x
  2. Step 2: Convert to fraction form
    105,903.84/158,809.11 = 49,759.92/x
  3. Step 3: Cross multiply
    105,903.84x = 158,809.11 × 49,759.92
  4. Step 4: Simplify right side
    105,903.84x = 7,902,328,608.87
  5. Step 5: Solve for x
    x = 7,902,328,608.87/105,903.84
  6. Step 6: Final answer
    x = 74,617.96

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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.