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Finding the Fourth Proportional to 307,229.66, 460,844.49 and 96,888.86

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Solution

The fourth proportional to 307,229.66, 460,844.49 and 96,888.86 is: 145,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,229.66 : 460,844.49 = 96,888.86 : x
  2. Step 2: Convert to fraction form
    307,229.66/460,844.49 = 96,888.86/x
  3. Step 3: Cross multiply
    307,229.66x = 460,844.49 × 96,888.86
  4. Step 4: Simplify right side
    307,229.66x = 44,650,697,273.38
  5. Step 5: Solve for x
    x = 44,650,697,273.38/307,229.66
  6. Step 6: Final answer
    x = 145,333.29

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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.