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Finding the Fourth Proportional to 254,990.16, 382,563 and 130,418.64

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Solution

The fourth proportional to 254,990.16, 382,563 and 130,418.64 is: 195,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,990.16 : 382,563 = 130,418.64 : x
  2. Step 2: Convert to fraction form
    254,990.16/382,563 = 130,418.64/x
  3. Step 3: Cross multiply
    254,990.16x = 382,563 × 130,418.64
  4. Step 4: Simplify right side
    254,990.16x = 49,893,346,174.32
  5. Step 5: Solve for x
    x = 49,893,346,174.32/254,990.16
  6. Step 6: Final answer
    x = 195,667.73

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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.