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Finding the Fourth Proportional to 200,904.75, 302,560.20 and 182,968.65

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Solution

The fourth proportional to 200,904.75, 302,560.20 and 182,968.65 is: 275,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,904.75 : 302,560.20 = 182,968.65 : x
  2. Step 2: Convert to fraction form
    200,904.75/302,560.20 = 182,968.65/x
  3. Step 3: Cross multiply
    200,904.75x = 302,560.20 × 182,968.65
  4. Step 4: Simplify right side
    200,904.75x = 55,359,031,337.73
  5. Step 5: Solve for x
    x = 55,359,031,337.73/200,904.75
  6. Step 6: Final answer
    x = 275,548.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.