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Finding the Fourth Proportional to 200,895.53, 277,217.48 and 119,209.68

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Solution

The fourth proportional to 200,895.53, 277,217.48 and 119,209.68 is: 164,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,895.53 : 277,217.48 = 119,209.68 : x
  2. Step 2: Convert to fraction form
    200,895.53/277,217.48 = 119,209.68/x
  3. Step 3: Cross multiply
    200,895.53x = 277,217.48 × 119,209.68
  4. Step 4: Simplify right side
    200,895.53x = 33,047,007,379.23
  5. Step 5: Solve for x
    x = 33,047,007,379.23/200,895.53
  6. Step 6: Final answer
    x = 164,498.47

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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.