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Finding the Fourth Proportional to 254,743.79, 382,119.32 and 96,980.90

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Solution

The fourth proportional to 254,743.79, 382,119.32 and 96,980.90 is: 145,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,743.79 : 382,119.32 = 96,980.90 : x
  2. Step 2: Convert to fraction form
    254,743.79/382,119.32 = 96,980.90/x
  3. Step 3: Cross multiply
    254,743.79x = 382,119.32 × 96,980.90
  4. Step 4: Simplify right side
    254,743.79x = 37,058,273,892.84
  5. Step 5: Solve for x
    x = 37,058,273,892.84/254,743.79
  6. Step 6: Final answer
    x = 145,472.73

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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.