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Finding the Fourth Proportional to 208,989.45, 288,493.68 and 141,098.34

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Solution

The fourth proportional to 208,989.45, 288,493.68 and 141,098.34 is: 194,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,989.45 : 288,493.68 = 141,098.34 : x
  2. Step 2: Convert to fraction form
    208,989.45/288,493.68 = 141,098.34/x
  3. Step 3: Cross multiply
    208,989.45x = 288,493.68 × 141,098.34
  4. Step 4: Simplify right side
    208,989.45x = 40,705,979,348.49
  5. Step 5: Solve for x
    x = 40,705,979,348.49/208,989.45
  6. Step 6: Final answer
    x = 194,775.28

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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.