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Finding the Fourth Proportional to 307,599.54, 461,117.43 and 107,811.02

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Solution

The fourth proportional to 307,599.54, 461,117.43 and 107,811.02 is: 161,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,599.54 : 461,117.43 = 107,811.02 : x
  2. Step 2: Convert to fraction form
    307,599.54/461,117.43 = 107,811.02/x
  3. Step 3: Cross multiply
    307,599.54x = 461,117.43 × 107,811.02
  4. Step 4: Simplify right side
    307,599.54x = 49,713,538,162.49
  5. Step 5: Solve for x
    x = 49,713,538,162.49/307,599.54
  6. Step 6: Final answer
    x = 161,617.73

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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.