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Finding the Fourth Proportional to 201,103.47, 301,694.13 and 76,434.75

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Solution

The fourth proportional to 201,103.47, 301,694.13 and 76,434.75 is: 114,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,103.47 : 301,694.13 = 76,434.75 : x
  2. Step 2: Convert to fraction form
    201,103.47/301,694.13 = 76,434.75/x
  3. Step 3: Cross multiply
    201,103.47x = 301,694.13 × 76,434.75
  4. Step 4: Simplify right side
    201,103.47x = 23,059,915,403.02
  5. Step 5: Solve for x
    x = 23,059,915,403.02/201,103.47
  6. Step 6: Final answer
    x = 114,666.92

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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.