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Finding the Fourth Proportional to 201,049.86, 302,986.79 and 181,084.38

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Solution

The fourth proportional to 201,049.86, 302,986.79 and 181,084.38 is: 272,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,049.86 : 302,986.79 = 181,084.38 : x
  2. Step 2: Convert to fraction form
    201,049.86/302,986.79 = 181,084.38/x
  3. Step 3: Cross multiply
    201,049.86x = 302,986.79 × 181,084.38
  4. Step 4: Simplify right side
    201,049.86x = 54,866,175,015.34
  5. Step 5: Solve for x
    x = 54,866,175,015.34/201,049.86
  6. Step 6: Final answer
    x = 272,898.35

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Why These Related Problems?

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