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Finding the Fourth Proportional to 307,466.64, 461,186.76 and 105,080.88

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Solution

The fourth proportional to 307,466.64, 461,186.76 and 105,080.88 is: 157,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,466.64 : 461,186.76 = 105,080.88 : x
  2. Step 2: Convert to fraction form
    307,466.64/461,186.76 = 105,080.88/x
  3. Step 3: Cross multiply
    307,466.64x = 461,186.76 × 105,080.88
  4. Step 4: Simplify right side
    307,466.64x = 48,461,910,585.15
  5. Step 5: Solve for x
    x = 48,461,910,585.15/307,466.64
  6. Step 6: Final answer
    x = 157,616.81

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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.