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Finding the Fourth Proportional to 254,879.93, 382,295.16 and 77,388.48

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Solution

The fourth proportional to 254,879.93, 382,295.16 and 77,388.48 is: 116,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,879.93 : 382,295.16 = 77,388.48 : x
  2. Step 2: Convert to fraction form
    254,879.93/382,295.16 = 77,388.48/x
  3. Step 3: Cross multiply
    254,879.93x = 382,295.16 × 77,388.48
  4. Step 4: Simplify right side
    254,879.93x = 29,585,241,343.76
  5. Step 5: Solve for x
    x = 29,585,241,343.76/254,879.93
  6. Step 6: Final answer
    x = 116,075.21

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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.