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Finding the Fourth Proportional to 209,767.34, 289,476.29 and 114,271.98

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Solution

The fourth proportional to 209,767.34, 289,476.29 and 114,271.98 is: 157,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,767.34 : 289,476.29 = 114,271.98 : x
  2. Step 2: Convert to fraction form
    209,767.34/289,476.29 = 114,271.98/x
  3. Step 3: Cross multiply
    209,767.34x = 289,476.29 × 114,271.98
  4. Step 4: Simplify right side
    209,767.34x = 33,079,028,249.99
  5. Step 5: Solve for x
    x = 33,079,028,249.99/209,767.34
  6. Step 6: Final answer
    x = 157,693.90

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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.