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Finding the Fourth Proportional to 307,735.31, 461,804.79 and 108,050.55

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Solution

The fourth proportional to 307,735.31, 461,804.79 and 108,050.55 is: 162,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,735.31 : 461,804.79 = 108,050.55 : x
  2. Step 2: Convert to fraction form
    307,735.31/461,804.79 = 108,050.55/x
  3. Step 3: Cross multiply
    307,735.31x = 461,804.79 × 108,050.55
  4. Step 4: Simplify right side
    307,735.31x = 49,898,261,552.13
  5. Step 5: Solve for x
    x = 49,898,261,552.13/307,735.31
  6. Step 6: Final answer
    x = 162,146.69

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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.