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Finding the Fourth Proportional to 201,053.28, 301,120.56 and 95,946.06

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Solution

The fourth proportional to 201,053.28, 301,120.56 and 95,946.06 is: 143,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,053.28 : 301,120.56 = 95,946.06 : x
  2. Step 2: Convert to fraction form
    201,053.28/301,120.56 = 95,946.06/x
  3. Step 3: Cross multiply
    201,053.28x = 301,120.56 × 95,946.06
  4. Step 4: Simplify right side
    201,053.28x = 28,891,331,316.99
  5. Step 5: Solve for x
    x = 28,891,331,316.99/201,053.28
  6. Step 6: Final answer
    x = 143,699.88

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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.