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Finding the Fourth Proportional to 200,780.40, 277,085.64 and 120,192.34

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Solution

The fourth proportional to 200,780.40, 277,085.64 and 120,192.34 is: 165,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,780.40 : 277,085.64 = 120,192.34 : x
  2. Step 2: Convert to fraction form
    200,780.40/277,085.64 = 120,192.34/x
  3. Step 3: Cross multiply
    200,780.40x = 277,085.64 × 120,192.34
  4. Step 4: Simplify right side
    200,780.40x = 33,303,571,452.00
  5. Step 5: Solve for x
    x = 33,303,571,452.00/200,780.40
  6. Step 6: Final answer
    x = 165,870.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.