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Finding the Fourth Proportional to 307,762.94, 461,704.25 and 118,209.38

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Solution

The fourth proportional to 307,762.94, 461,704.25 and 118,209.38 is: 177,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,762.94 : 461,704.25 = 118,209.38 : x
  2. Step 2: Convert to fraction form
    307,762.94/461,704.25 = 118,209.38/x
  3. Step 3: Cross multiply
    307,762.94x = 461,704.25 × 118,209.38
  4. Step 4: Simplify right side
    307,762.94x = 54,577,771,122.87
  5. Step 5: Solve for x
    x = 54,577,771,122.87/307,762.94
  6. Step 6: Final answer
    x = 177,337.05

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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.