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Finding the Fourth Proportional to 160,530.72, 221,569.20 and 106,818

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Solution

The fourth proportional to 160,530.72, 221,569.20 and 106,818 is: 147,433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,530.72 : 221,569.20 = 106,818 : x
  2. Step 2: Convert to fraction form
    160,530.72/221,569.20 = 106,818/x
  3. Step 3: Cross multiply
    160,530.72x = 221,569.20 × 106,818
  4. Step 4: Simplify right side
    160,530.72x = 23,667,578,805.60
  5. Step 5: Solve for x
    x = 23,667,578,805.60/160,530.72
  6. Step 6: Final answer
    x = 147,433.33

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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.