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Finding the Fourth Proportional to 254,902.83, 382,329.41 and 77,411.37

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Solution

The fourth proportional to 254,902.83, 382,329.41 and 77,411.37 is: 116,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,902.83 : 382,329.41 = 77,411.37 : x
  2. Step 2: Convert to fraction form
    254,902.83/382,329.41 = 77,411.37/x
  3. Step 3: Cross multiply
    254,902.83x = 382,329.41 × 77,411.37
  4. Step 4: Simplify right side
    254,902.83x = 29,596,643,032.33
  5. Step 5: Solve for x
    x = 29,596,643,032.33/254,902.83
  6. Step 6: Final answer
    x = 116,109.51

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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.