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Finding the Fourth Proportional to 209,638.05, 289,305.71 and 114,149.98

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Solution

The fourth proportional to 209,638.05, 289,305.71 and 114,149.98 is: 157,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,638.05 : 289,305.71 = 114,149.98 : x
  2. Step 2: Convert to fraction form
    209,638.05/289,305.71 = 114,149.98/x
  3. Step 3: Cross multiply
    209,638.05x = 289,305.71 × 114,149.98
  4. Step 4: Simplify right side
    209,638.05x = 33,024,241,010.39
  5. Step 5: Solve for x
    x = 33,024,241,010.39/209,638.05
  6. Step 6: Final answer
    x = 157,529.80

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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.