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Finding the Fourth Proportional to 254,775.63, 382,218.43 and 77,296.94

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Solution

The fourth proportional to 254,775.63, 382,218.43 and 77,296.94 is: 115,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,775.63 : 382,218.43 = 77,296.94 : x
  2. Step 2: Convert to fraction form
    254,775.63/382,218.43 = 77,296.94/x
  3. Step 3: Cross multiply
    254,775.63x = 382,218.43 × 77,296.94
  4. Step 4: Simplify right side
    254,775.63x = 29,544,315,050.60
  5. Step 5: Solve for x
    x = 29,544,315,050.60/254,775.63
  6. Step 6: Final answer
    x = 115,962.09

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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.