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Finding the Fourth Proportional to 200,913.31, 277,240.18 and 120,338.76

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Solution

The fourth proportional to 200,913.31, 277,240.18 and 120,338.76 is: 166,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,913.31 : 277,240.18 = 120,338.76 : x
  2. Step 2: Convert to fraction form
    200,913.31/277,240.18 = 120,338.76/x
  3. Step 3: Cross multiply
    200,913.31x = 277,240.18 × 120,338.76
  4. Step 4: Simplify right side
    200,913.31x = 33,362,740,617.04
  5. Step 5: Solve for x
    x = 33,362,740,617.04/200,913.31
  6. Step 6: Final answer
    x = 166,055.40

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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.