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Finding the Fourth Proportional to 301,961.60, 416,730.24 and 181,107.52

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Solution

The fourth proportional to 301,961.60, 416,730.24 and 181,107.52 is: 249,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,961.60 : 416,730.24 = 181,107.52 : x
  2. Step 2: Convert to fraction form
    301,961.60/416,730.24 = 181,107.52/x
  3. Step 3: Cross multiply
    301,961.60x = 416,730.24 × 181,107.52
  4. Step 4: Simplify right side
    301,961.60x = 75,472,980,275.40
  5. Step 5: Solve for x
    x = 75,472,980,275.40/301,961.60
  6. Step 6: Final answer
    x = 249,942.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.