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Finding the Fourth Proportional to 307,352.07, 461,080.96 and 94,114.71

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Solution

The fourth proportional to 307,352.07, 461,080.96 and 94,114.71 is: 141,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,352.07 : 461,080.96 = 94,114.71 : x
  2. Step 2: Convert to fraction form
    307,352.07/461,080.96 = 94,114.71/x
  3. Step 3: Cross multiply
    307,352.07x = 461,080.96 × 94,114.71
  4. Step 4: Simplify right side
    307,352.07x = 43,394,500,601.63
  5. Step 5: Solve for x
    x = 43,394,500,601.63/307,352.07
  6. Step 6: Final answer
    x = 141,188.25

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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.