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Finding the Fourth Proportional to 209,543.26, 289,169.72 and 114,050.65

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Solution

The fourth proportional to 209,543.26, 289,169.72 and 114,050.65 is: 157,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,543.26 : 289,169.72 = 114,050.65 : x
  2. Step 2: Convert to fraction form
    209,543.26/289,169.72 = 114,050.65/x
  3. Step 3: Cross multiply
    209,543.26x = 289,169.72 × 114,050.65
  4. Step 4: Simplify right side
    209,543.26x = 32,979,994,526.32
  5. Step 5: Solve for x
    x = 32,979,994,526.32/209,543.26
  6. Step 6: Final answer
    x = 157,389.91

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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.