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Finding the Fourth Proportional to 288,982.42, 398,835.93 and 161,666.62

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Solution

The fourth proportional to 288,982.42, 398,835.93 and 161,666.62 is: 223,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,982.42 : 398,835.93 = 161,666.62 : x
  2. Step 2: Convert to fraction form
    288,982.42/398,835.93 = 161,666.62/x
  3. Step 3: Cross multiply
    288,982.42x = 398,835.93 × 161,666.62
  4. Step 4: Simplify right side
    288,982.42x = 64,478,456,737.66
  5. Step 5: Solve for x
    x = 64,478,456,737.66/288,982.42
  6. Step 6: Final answer
    x = 223,122.42

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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.