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Finding the Fourth Proportional to 294,353.25, 441,363.68 and 102,137.52

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Solution

The fourth proportional to 294,353.25, 441,363.68 and 102,137.52 is: 153,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,353.25 : 441,363.68 = 102,137.52 : x
  2. Step 2: Convert to fraction form
    294,353.25/441,363.68 = 102,137.52/x
  3. Step 3: Cross multiply
    294,353.25x = 441,363.68 × 102,137.52
  4. Step 4: Simplify right side
    294,353.25x = 45,079,791,182.59
  5. Step 5: Solve for x
    x = 45,079,791,182.59/294,353.25
  6. Step 6: Final answer
    x = 153,148.61

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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.