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Finding the Fourth Proportional to 195,719.94, 293,692.92 and 105,762.96

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Solution

The fourth proportional to 195,719.94, 293,692.92 and 105,762.96 is: 158,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,719.94 : 293,692.92 = 105,762.96 : x
  2. Step 2: Convert to fraction form
    195,719.94/293,692.92 = 105,762.96/x
  3. Step 3: Cross multiply
    195,719.94x = 293,692.92 × 105,762.96
  4. Step 4: Simplify right side
    195,719.94x = 31,061,832,550.24
  5. Step 5: Solve for x
    x = 31,061,832,550.24/195,719.94
  6. Step 6: Final answer
    x = 158,705.51

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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.