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Finding the Fourth Proportional to 294,153.64, 441,172.38 and 80,866.53

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Solution

The fourth proportional to 294,153.64, 441,172.38 and 80,866.53 is: 121,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,153.64 : 441,172.38 = 80,866.53 : x
  2. Step 2: Convert to fraction form
    294,153.64/441,172.38 = 80,866.53/x
  3. Step 3: Cross multiply
    294,153.64x = 441,172.38 × 80,866.53
  4. Step 4: Simplify right side
    294,153.64x = 35,676,079,502.44
  5. Step 5: Solve for x
    x = 35,676,079,502.44/294,153.64
  6. Step 6: Final answer
    x = 121,283.83

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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.