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Finding the Fourth Proportional to 201,057.72, 301,498.02 and 94,472

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Solution

The fourth proportional to 201,057.72, 301,498.02 and 94,472 is: 141,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,057.72 : 301,498.02 = 94,472 : x
  2. Step 2: Convert to fraction form
    201,057.72/301,498.02 = 94,472/x
  3. Step 3: Cross multiply
    201,057.72x = 301,498.02 × 94,472
  4. Step 4: Simplify right side
    201,057.72x = 28,483,120,945.44
  5. Step 5: Solve for x
    x = 28,483,120,945.44/201,057.72
  6. Step 6: Final answer
    x = 141,666.39

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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.