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Finding the Fourth Proportional to 307,517.50, 461,354.01 and 85,901.50

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Solution

The fourth proportional to 307,517.50, 461,354.01 and 85,901.50 is: 128,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,517.50 : 461,354.01 = 85,901.50 : x
  2. Step 2: Convert to fraction form
    307,517.50/461,354.01 = 85,901.50/x
  3. Step 3: Cross multiply
    307,517.50x = 461,354.01 × 85,901.50
  4. Step 4: Simplify right side
    307,517.50x = 39,631,001,490.02
  5. Step 5: Solve for x
    x = 39,631,001,490.02/307,517.50
  6. Step 6: Final answer
    x = 128,873.97

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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.