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Finding the Fourth Proportional to 255,400.96, 383,101.44 and 89,185.28

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Solution

The fourth proportional to 255,400.96, 383,101.44 and 89,185.28 is: 133,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,400.96 : 383,101.44 = 89,185.28 : x
  2. Step 2: Convert to fraction form
    255,400.96/383,101.44 = 89,185.28/x
  3. Step 3: Cross multiply
    255,400.96x = 383,101.44 × 89,185.28
  4. Step 4: Simplify right side
    255,400.96x = 34,167,009,194.80
  5. Step 5: Solve for x
    x = 34,167,009,194.80/255,400.96
  6. Step 6: Final answer
    x = 133,777.92

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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.