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Finding the Fourth Proportional to 200,782.40, 277,088.40 and 120,194.33

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Solution

The fourth proportional to 200,782.40, 277,088.40 and 120,194.33 is: 165,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,782.40 : 277,088.40 = 120,194.33 : x
  2. Step 2: Convert to fraction form
    200,782.40/277,088.40 = 120,194.33/x
  3. Step 3: Cross multiply
    200,782.40x = 277,088.40 × 120,194.33
  4. Step 4: Simplify right side
    200,782.40x = 33,304,454,588.77
  5. Step 5: Solve for x
    x = 33,304,454,588.77/200,782.40
  6. Step 6: Final answer
    x = 165,873.38

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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.