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Finding the Fourth Proportional to 255,024.82, 382,537.91 and 121,874.82

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Solution

The fourth proportional to 255,024.82, 382,537.91 and 121,874.82 is: 182,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,024.82 : 382,537.91 = 121,874.82 : x
  2. Step 2: Convert to fraction form
    255,024.82/382,537.91 = 121,874.82/x
  3. Step 3: Cross multiply
    255,024.82x = 382,537.91 × 121,874.82
  4. Step 4: Simplify right side
    255,024.82x = 46,621,738,924.43
  5. Step 5: Solve for x
    x = 46,621,738,924.43/255,024.82
  6. Step 6: Final answer
    x = 182,812.55

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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.