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Finding the Fourth Proportional to 254,336, 381,504.02 and 96,564.54

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Solution

The fourth proportional to 254,336, 381,504.02 and 96,564.54 is: 144,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,336 : 381,504.02 = 96,564.54 : x
  2. Step 2: Convert to fraction form
    254,336/381,504.02 = 96,564.54/x
  3. Step 3: Cross multiply
    254,336x = 381,504.02 × 96,564.54
  4. Step 4: Simplify right side
    254,336x = 36,839,760,199.45
  5. Step 5: Solve for x
    x = 36,839,760,199.45/254,336
  6. Step 6: Final answer
    x = 144,846.82

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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.