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Finding the Fourth Proportional to 201,103.94, 301,783.08 and 112,415.70

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Solution

The fourth proportional to 201,103.94, 301,783.08 and 112,415.70 is: 168,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,103.94 : 301,783.08 = 112,415.70 : x
  2. Step 2: Convert to fraction form
    201,103.94/301,783.08 = 112,415.70/x
  3. Step 3: Cross multiply
    201,103.94x = 301,783.08 × 112,415.70
  4. Step 4: Simplify right side
    201,103.94x = 33,925,156,186.36
  5. Step 5: Solve for x
    x = 33,925,156,186.36/201,103.94
  6. Step 6: Final answer
    x = 168,694.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.