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Finding the Fourth Proportional to 209,672.11, 289,350.96 and 119,030.75

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Solution

The fourth proportional to 209,672.11, 289,350.96 and 119,030.75 is: 164,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,672.11 : 289,350.96 = 119,030.75 : x
  2. Step 2: Convert to fraction form
    209,672.11/289,350.96 = 119,030.75/x
  3. Step 3: Cross multiply
    209,672.11x = 289,350.96 × 119,030.75
  4. Step 4: Simplify right side
    209,672.11x = 34,441,661,782.02
  5. Step 5: Solve for x
    x = 34,441,661,782.02/209,672.11
  6. Step 6: Final answer
    x = 164,264.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.