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Finding the Fourth Proportional to 307,417.50, 461,194.38 and 94,214.88

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Solution

The fourth proportional to 307,417.50, 461,194.38 and 94,214.88 is: 141,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,417.50 : 461,194.38 = 94,214.88 : x
  2. Step 2: Convert to fraction form
    307,417.50/461,194.38 = 94,214.88/x
  3. Step 3: Cross multiply
    307,417.50x = 461,194.38 × 94,214.88
  4. Step 4: Simplify right side
    307,417.50x = 43,451,373,168.37
  5. Step 5: Solve for x
    x = 43,451,373,168.37/307,417.50
  6. Step 6: Final answer
    x = 141,343.20

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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.