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Finding the Fourth Proportional to 307,571.52, 461,316.75 and 91,425.66

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Solution

The fourth proportional to 307,571.52, 461,316.75 and 91,425.66 is: 137,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,571.52 : 461,316.75 = 91,425.66 : x
  2. Step 2: Convert to fraction form
    307,571.52/461,316.75 = 91,425.66/x
  3. Step 3: Cross multiply
    307,571.52x = 461,316.75 × 91,425.66
  4. Step 4: Simplify right side
    307,571.52x = 42,176,188,337.81
  5. Step 5: Solve for x
    x = 42,176,188,337.81/307,571.52
  6. Step 6: Final answer
    x = 137,126.44

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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.