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Finding the Fourth Proportional to 201,959.51, 302,946.94 and 75,586.44

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Solution

The fourth proportional to 201,959.51, 302,946.94 and 75,586.44 is: 113,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,959.51 : 302,946.94 = 75,586.44 : x
  2. Step 2: Convert to fraction form
    201,959.51/302,946.94 = 75,586.44/x
  3. Step 3: Cross multiply
    201,959.51x = 302,946.94 × 75,586.44
  4. Step 4: Simplify right side
    201,959.51x = 22,898,681,934.03
  5. Step 5: Solve for x
    x = 22,898,681,934.03/201,959.51
  6. Step 6: Final answer
    x = 113,382.54

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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.