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Finding the Fourth Proportional to 195,692.02, 293,650.92 and 105,735

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Solution

The fourth proportional to 195,692.02, 293,650.92 and 105,735 is: 158,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,692.02 : 293,650.92 = 105,735 : x
  2. Step 2: Convert to fraction form
    195,692.02/293,650.92 = 105,735/x
  3. Step 3: Cross multiply
    195,692.02x = 293,650.92 × 105,735
  4. Step 4: Simplify right side
    195,692.02x = 31,049,180,026.20
  5. Step 5: Solve for x
    x = 31,049,180,026.20/195,692.02
  6. Step 6: Final answer
    x = 158,663.50

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