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Finding the Fourth Proportional to 209,881.09, 289,642.69 and 119,235.41

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Solution

The fourth proportional to 209,881.09, 289,642.69 and 119,235.41 is: 164,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,881.09 : 289,642.69 = 119,235.41 : x
  2. Step 2: Convert to fraction form
    209,881.09/289,642.69 = 119,235.41/x
  3. Step 3: Cross multiply
    209,881.09x = 289,642.69 × 119,235.41
  4. Step 4: Simplify right side
    209,881.09x = 34,535,664,011.94
  5. Step 5: Solve for x
    x = 34,535,664,011.94/209,881.09
  6. Step 6: Final answer
    x = 164,548.72

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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.