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Finding the Fourth Proportional to 201,119.76, 277,536.30 and 120,591.72

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Solution

The fourth proportional to 201,119.76, 277,536.30 and 120,591.72 is: 166,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,119.76 : 277,536.30 = 120,591.72 : x
  2. Step 2: Convert to fraction form
    201,119.76/277,536.30 = 120,591.72/x
  3. Step 3: Cross multiply
    201,119.76x = 277,536.30 × 120,591.72
  4. Step 4: Simplify right side
    201,119.76x = 33,468,579,779.44
  5. Step 5: Solve for x
    x = 33,468,579,779.44/201,119.76
  6. Step 6: Final answer
    x = 166,411.20

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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.