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Finding the Fourth Proportional to 200,950.08, 277,287.60 and 119,265.84

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Solution

The fourth proportional to 200,950.08, 277,287.60 and 119,265.84 is: 164,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,950.08 : 277,287.60 = 119,265.84 : x
  2. Step 2: Convert to fraction form
    200,950.08/277,287.60 = 119,265.84/x
  3. Step 3: Cross multiply
    200,950.08x = 277,287.60 × 119,265.84
  4. Step 4: Simplify right side
    200,950.08x = 33,070,938,535.58
  5. Step 5: Solve for x
    x = 33,070,938,535.58/200,950.08
  6. Step 6: Final answer
    x = 164,572.91

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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.