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Finding the Fourth Proportional to 307,261.14, 460,891.72 and 96,915.48

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Solution

The fourth proportional to 307,261.14, 460,891.72 and 96,915.48 is: 145,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,261.14 : 460,891.72 = 96,915.48 : x
  2. Step 2: Convert to fraction form
    307,261.14/460,891.72 = 96,915.48/x
  3. Step 3: Cross multiply
    307,261.14x = 460,891.72 × 96,915.48
  4. Step 4: Simplify right side
    307,261.14x = 44,667,542,271.83
  5. Step 5: Solve for x
    x = 44,667,542,271.83/307,261.14
  6. Step 6: Final answer
    x = 145,373.22

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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.