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Finding the Fourth Proportional to 149,596.53, 206,462.40 and 85,946.64

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Solution

The fourth proportional to 149,596.53, 206,462.40 and 85,946.64 is: 118,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,596.53 : 206,462.40 = 85,946.64 : x
  2. Step 2: Convert to fraction form
    149,596.53/206,462.40 = 85,946.64/x
  3. Step 3: Cross multiply
    149,596.53x = 206,462.40 × 85,946.64
  4. Step 4: Simplify right side
    149,596.53x = 17,744,749,566.34
  5. Step 5: Solve for x
    x = 17,744,749,566.34/149,596.53
  6. Step 6: Final answer
    x = 118,617.39

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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.