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Finding the Fourth Proportional to 294,826.40, 442,142.40 and 107,813.60

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Solution

The fourth proportional to 294,826.40, 442,142.40 and 107,813.60 is: 161,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,826.40 : 442,142.40 = 107,813.60 : x
  2. Step 2: Convert to fraction form
    294,826.40/442,142.40 = 107,813.60/x
  3. Step 3: Cross multiply
    294,826.40x = 442,142.40 × 107,813.60
  4. Step 4: Simplify right side
    294,826.40x = 47,668,963,856.64
  5. Step 5: Solve for x
    x = 47,668,963,856.64/294,826.40
  6. Step 6: Final answer
    x = 161,684.86

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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.