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Finding the Fourth Proportional to 255,444, 383,172.48 and 89,232

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Solution

The fourth proportional to 255,444, 383,172.48 and 89,232 is: 133,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,444 : 383,172.48 = 89,232 : x
  2. Step 2: Convert to fraction form
    255,444/383,172.48 = 89,232/x
  3. Step 3: Cross multiply
    255,444x = 383,172.48 × 89,232
  4. Step 4: Simplify right side
    255,444x = 34,191,246,735.36
  5. Step 5: Solve for x
    x = 34,191,246,735.36/255,444
  6. Step 6: Final answer
    x = 133,850.26

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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.