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Finding the Fourth Proportional to 209,756.37, 289,468.26 and 114,262.86

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Solution

The fourth proportional to 209,756.37, 289,468.26 and 114,262.86 is: 157,685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,756.37 : 289,468.26 = 114,262.86 : x
  2. Step 2: Convert to fraction form
    209,756.37/289,468.26 = 114,262.86/x
  3. Step 3: Cross multiply
    209,756.37x = 289,468.26 × 114,262.86
  4. Step 4: Simplify right side
    209,756.37x = 33,075,471,266.82
  5. Step 5: Solve for x
    x = 33,075,471,266.82/209,756.37
  6. Step 6: Final answer
    x = 157,685.18

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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.