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Finding the Fourth Proportional to 254,913.72, 382,288.71 and 84,097.03

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Solution

The fourth proportional to 254,913.72, 382,288.71 and 84,097.03 is: 126,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,913.72 : 382,288.71 = 84,097.03 : x
  2. Step 2: Convert to fraction form
    254,913.72/382,288.71 = 84,097.03/x
  3. Step 3: Cross multiply
    254,913.72x = 382,288.71 × 84,097.03
  4. Step 4: Simplify right side
    254,913.72x = 32,149,345,113.53
  5. Step 5: Solve for x
    x = 32,149,345,113.53/254,913.72
  6. Step 6: Final answer
    x = 126,118.54

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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.