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Finding the Fourth Proportional to 250,983.40, 376,475.10 and 84,771.40

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Solution

The fourth proportional to 250,983.40, 376,475.10 and 84,771.40 is: 127,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,983.40 : 376,475.10 = 84,771.40 : x
  2. Step 2: Convert to fraction form
    250,983.40/376,475.10 = 84,771.40/x
  3. Step 3: Cross multiply
    250,983.40x = 376,475.10 × 84,771.40
  4. Step 4: Simplify right side
    250,983.40x = 31,914,321,292.14
  5. Step 5: Solve for x
    x = 31,914,321,292.14/250,983.40
  6. Step 6: Final answer
    x = 127,157.10

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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.