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Finding the Fourth Proportional to 209,434.45, 289,020.80 and 113,941.83

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Solution

The fourth proportional to 209,434.45, 289,020.80 and 113,941.83 is: 157,240.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,434.45 : 289,020.80 = 113,941.83 : x
  2. Step 2: Convert to fraction form
    209,434.45/289,020.80 = 113,941.83/x
  3. Step 3: Cross multiply
    209,434.45x = 289,020.80 × 113,941.83
  4. Step 4: Simplify right side
    209,434.45x = 32,931,558,860.06
  5. Step 5: Solve for x
    x = 32,931,558,860.06/209,434.45
  6. Step 6: Final answer
    x = 157,240.41

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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.