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Finding the Fourth Proportional to 201,050.42, 299,371.95 and 193,866.12

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Solution

The fourth proportional to 201,050.42, 299,371.95 and 193,866.12 is: 288,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,050.42 : 299,371.95 = 193,866.12 : x
  2. Step 2: Convert to fraction form
    201,050.42/299,371.95 = 193,866.12/x
  3. Step 3: Cross multiply
    201,050.42x = 299,371.95 × 193,866.12
  4. Step 4: Simplify right side
    201,050.42x = 58,038,078,383.33
  5. Step 5: Solve for x
    x = 58,038,078,383.33/201,050.42
  6. Step 6: Final answer
    x = 288,674.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.