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Finding the Fourth Proportional to 216,424.28, 298,666.98 and 120,935

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Solution

The fourth proportional to 216,424.28, 298,666.98 and 120,935 is: 166,891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,424.28 : 298,666.98 = 120,935 : x
  2. Step 2: Convert to fraction form
    216,424.28/298,666.98 = 120,935/x
  3. Step 3: Cross multiply
    216,424.28x = 298,666.98 × 120,935
  4. Step 4: Simplify right side
    216,424.28x = 36,119,291,226.30
  5. Step 5: Solve for x
    x = 36,119,291,226.30/216,424.28
  6. Step 6: Final answer
    x = 166,891.12

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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.