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Finding the Fourth Proportional to 201,103.74, 277,525.44 and 110,461.83

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Solution

The fourth proportional to 201,103.74, 277,525.44 and 110,461.83 is: 152,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,103.74 : 277,525.44 = 110,461.83 : x
  2. Step 2: Convert to fraction form
    201,103.74/277,525.44 = 110,461.83/x
  3. Step 3: Cross multiply
    201,103.74x = 277,525.44 × 110,461.83
  4. Step 4: Simplify right side
    201,103.74x = 30,655,967,973.96
  5. Step 5: Solve for x
    x = 30,655,967,973.96/201,103.74
  6. Step 6: Final answer
    x = 152,438.58

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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.