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Finding the Fourth Proportional to 307,693.80, 461,427.96 and 130,214.64

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Solution

The fourth proportional to 307,693.80, 461,427.96 and 130,214.64 is: 195,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,693.80 : 461,427.96 = 130,214.64 : x
  2. Step 2: Convert to fraction form
    307,693.80/461,427.96 = 130,214.64/x
  3. Step 3: Cross multiply
    307,693.80x = 461,427.96 × 130,214.64
  4. Step 4: Simplify right side
    307,693.80x = 60,084,675,697.33
  5. Step 5: Solve for x
    x = 60,084,675,697.33/307,693.80
  6. Step 6: Final answer
    x = 195,274.25

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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.