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Finding the Fourth Proportional to 206,952.55, 285,595.50 and 120,916.42

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Solution

The fourth proportional to 206,952.55, 285,595.50 and 120,916.42 is: 166,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,952.55 : 285,595.50 = 120,916.42 : x
  2. Step 2: Convert to fraction form
    206,952.55/285,595.50 = 120,916.42/x
  3. Step 3: Cross multiply
    206,952.55x = 285,595.50 × 120,916.42
  4. Step 4: Simplify right side
    206,952.55x = 34,533,185,428.11
  5. Step 5: Solve for x
    x = 34,533,185,428.11/206,952.55
  6. Step 6: Final answer
    x = 166,865.23

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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.