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Finding the Fourth Proportional to 221,368.72, 305,488.16 and 120,766

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Solution

The fourth proportional to 221,368.72, 305,488.16 and 120,766 is: 166,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,368.72 : 305,488.16 = 120,766 : x
  2. Step 2: Convert to fraction form
    221,368.72/305,488.16 = 120,766/x
  3. Step 3: Cross multiply
    221,368.72x = 305,488.16 × 120,766
  4. Step 4: Simplify right side
    221,368.72x = 36,892,583,130.56
  5. Step 5: Solve for x
    x = 36,892,583,130.56/221,368.72
  6. Step 6: Final answer
    x = 166,656.71

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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.