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Finding the Fourth Proportional to 200,913.30, 300,851.55 and 159,441.30

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Solution

The fourth proportional to 200,913.30, 300,851.55 and 159,441.30 is: 238,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,913.30 : 300,851.55 = 159,441.30 : x
  2. Step 2: Convert to fraction form
    200,913.30/300,851.55 = 159,441.30/x
  3. Step 3: Cross multiply
    200,913.30x = 300,851.55 × 159,441.30
  4. Step 4: Simplify right side
    200,913.30x = 47,968,162,239.02
  5. Step 5: Solve for x
    x = 47,968,162,239.02/200,913.30
  6. Step 6: Final answer
    x = 238,750.56

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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.