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Finding the Fourth Proportional to 201,064.71, 277,474.21 and 109,187.93

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Solution

The fourth proportional to 201,064.71, 277,474.21 and 109,187.93 is: 150,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,064.71 : 277,474.21 = 109,187.93 : x
  2. Step 2: Convert to fraction form
    201,064.71/277,474.21 = 109,187.93/x
  3. Step 3: Cross multiply
    201,064.71x = 277,474.21 × 109,187.93
  4. Step 4: Simplify right side
    201,064.71x = 30,296,835,039.00
  5. Step 5: Solve for x
    x = 30,296,835,039.00/201,064.71
  6. Step 6: Final answer
    x = 150,682.01

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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.