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Finding the Fourth Proportional to 262,353.24, 362,045.80 and 149,176

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Solution

The fourth proportional to 262,353.24, 362,045.80 and 149,176 is: 205,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,353.24 : 362,045.80 = 149,176 : x
  2. Step 2: Convert to fraction form
    262,353.24/362,045.80 = 149,176/x
  3. Step 3: Cross multiply
    262,353.24x = 362,045.80 × 149,176
  4. Step 4: Simplify right side
    262,353.24x = 54,008,544,260.80
  5. Step 5: Solve for x
    x = 54,008,544,260.80/262,353.24
  6. Step 6: Final answer
    x = 205,861.93

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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.