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Finding the Fourth Proportional to 254,431.20, 381,320.40 and 142,111.20

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Solution

The fourth proportional to 254,431.20, 381,320.40 and 142,111.20 is: 212,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,431.20 : 381,320.40 = 142,111.20 : x
  2. Step 2: Convert to fraction form
    254,431.20/381,320.40 = 142,111.20/x
  3. Step 3: Cross multiply
    254,431.20x = 381,320.40 × 142,111.20
  4. Step 4: Simplify right side
    254,431.20x = 54,189,899,628.48
  5. Step 5: Solve for x
    x = 54,189,899,628.48/254,431.20
  6. Step 6: Final answer
    x = 212,984.49

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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.