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Finding the Fourth Proportional to 142,473.95, 196,596.93 and 82,064.24

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Solution

The fourth proportional to 142,473.95, 196,596.93 and 82,064.24 is: 113,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,473.95 : 196,596.93 = 82,064.24 : x
  2. Step 2: Convert to fraction form
    142,473.95/196,596.93 = 82,064.24/x
  3. Step 3: Cross multiply
    142,473.95x = 196,596.93 × 82,064.24
  4. Step 4: Simplify right side
    142,473.95x = 16,133,577,236.46
  5. Step 5: Solve for x
    x = 16,133,577,236.46/142,473.95
  6. Step 6: Final answer
    x = 113,238.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.