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Finding the Fourth Proportional to 298,123.56, 411,406.98 and 162,154.56

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Solution

The fourth proportional to 298,123.56, 411,406.98 and 162,154.56 is: 223,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,123.56 : 411,406.98 = 162,154.56 : x
  2. Step 2: Convert to fraction form
    298,123.56/411,406.98 = 162,154.56/x
  3. Step 3: Cross multiply
    298,123.56x = 411,406.98 × 162,154.56
  4. Step 4: Simplify right side
    298,123.56x = 66,711,517,822.83
  5. Step 5: Solve for x
    x = 66,711,517,822.83/298,123.56
  6. Step 6: Final answer
    x = 223,771.37

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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.