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Finding the Fourth Proportional to 209,853.89, 289,589.93 and 114,358.53

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Solution

The fourth proportional to 209,853.89, 289,589.93 and 114,358.53 is: 157,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,853.89 : 289,589.93 = 114,358.53 : x
  2. Step 2: Convert to fraction form
    209,853.89/289,589.93 = 114,358.53/x
  3. Step 3: Cross multiply
    209,853.89x = 289,589.93 × 114,358.53
  4. Step 4: Simplify right side
    209,853.89x = 33,117,080,283.88
  5. Step 5: Solve for x
    x = 33,117,080,283.88/209,853.89
  6. Step 6: Final answer
    x = 157,810.18

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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.