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Finding the Fourth Proportional to 209,885.22, 289,648.38 and 119,239.53

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Solution

The fourth proportional to 209,885.22, 289,648.38 and 119,239.53 is: 164,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,885.22 : 289,648.38 = 119,239.53 : x
  2. Step 2: Convert to fraction form
    209,885.22/289,648.38 = 119,239.53/x
  3. Step 3: Cross multiply
    209,885.22x = 289,648.38 × 119,239.53
  4. Step 4: Simplify right side
    209,885.22x = 34,537,536,696.46
  5. Step 5: Solve for x
    x = 34,537,536,696.46/209,885.22
  6. Step 6: Final answer
    x = 164,554.40

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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.