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Finding the Fourth Proportional to 209,543.10, 289,169.44 and 114,050.49

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Solution

The fourth proportional to 209,543.10, 289,169.44 and 114,050.49 is: 157,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,543.10 : 289,169.44 = 114,050.49 : x
  2. Step 2: Convert to fraction form
    209,543.10/289,169.44 = 114,050.49/x
  3. Step 3: Cross multiply
    209,543.10x = 289,169.44 × 114,050.49
  4. Step 4: Simplify right side
    209,543.10x = 32,979,916,325.03
  5. Step 5: Solve for x
    x = 32,979,916,325.03/209,543.10
  6. Step 6: Final answer
    x = 157,389.66

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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.