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Finding the Fourth Proportional to 200,484.50, 276,668.61 and 119,915.42

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Solution

The fourth proportional to 200,484.50, 276,668.61 and 119,915.42 is: 165,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,484.50 : 276,668.61 = 119,915.42 : x
  2. Step 2: Convert to fraction form
    200,484.50/276,668.61 = 119,915.42/x
  3. Step 3: Cross multiply
    200,484.50x = 276,668.61 × 119,915.42
  4. Step 4: Simplify right side
    200,484.50x = 33,176,832,568.97
  5. Step 5: Solve for x
    x = 33,176,832,568.97/200,484.50
  6. Step 6: Final answer
    x = 165,483.28

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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.