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Finding the Fourth Proportional to 209,888.39, 289,652.05 and 114,401.27

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Solution

The fourth proportional to 209,888.39, 289,652.05 and 114,401.27 is: 157,877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,888.39 : 289,652.05 = 114,401.27 : x
  2. Step 2: Convert to fraction form
    209,888.39/289,652.05 = 114,401.27/x
  3. Step 3: Cross multiply
    209,888.39x = 289,652.05 × 114,401.27
  4. Step 4: Simplify right side
    209,888.39x = 33,136,563,245.24
  5. Step 5: Solve for x
    x = 33,136,563,245.24/209,888.39
  6. Step 6: Final answer
    x = 157,877.06

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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.