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Finding the Fourth Proportional to 294,781.08, 442,265.08 and 105,237.26

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Solution

The fourth proportional to 294,781.08, 442,265.08 and 105,237.26 is: 157,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,781.08 : 442,265.08 = 105,237.26 : x
  2. Step 2: Convert to fraction form
    294,781.08/442,265.08 = 105,237.26/x
  3. Step 3: Cross multiply
    294,781.08x = 442,265.08 × 105,237.26
  4. Step 4: Simplify right side
    294,781.08x = 46,542,764,594.28
  5. Step 5: Solve for x
    x = 46,542,764,594.28/294,781.08
  6. Step 6: Final answer
    x = 157,889.25

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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.