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Finding the Fourth Proportional to 201,602.27, 302,205.14 and 96,396.63

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Solution

The fourth proportional to 201,602.27, 302,205.14 and 96,396.63 is: 144,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,602.27 : 302,205.14 = 96,396.63 : x
  2. Step 2: Convert to fraction form
    201,602.27/302,205.14 = 96,396.63/x
  3. Step 3: Cross multiply
    201,602.27x = 302,205.14 × 96,396.63
  4. Step 4: Simplify right side
    201,602.27x = 29,131,556,582.70
  5. Step 5: Solve for x
    x = 29,131,556,582.70/201,602.27
  6. Step 6: Final answer
    x = 144,500.15

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