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Finding the Fourth Proportional to 209,885.36, 289,648.55 and 119,239.67

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Solution

The fourth proportional to 209,885.36, 289,648.55 and 119,239.67 is: 164,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,885.36 : 289,648.55 = 119,239.67 : x
  2. Step 2: Convert to fraction form
    209,885.36/289,648.55 = 119,239.67/x
  3. Step 3: Cross multiply
    209,885.36x = 289,648.55 × 119,239.67
  4. Step 4: Simplify right side
    209,885.36x = 34,537,596,921.78
  5. Step 5: Solve for x
    x = 34,537,596,921.78/209,885.36
  6. Step 6: Final answer
    x = 164,554.58

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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.