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Finding the Fourth Proportional to 271,498.88, 407,153.76 and 111,529.28

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Solution

The fourth proportional to 271,498.88, 407,153.76 and 111,529.28 is: 167,255.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,498.88 : 407,153.76 = 111,529.28 : x
  2. Step 2: Convert to fraction form
    271,498.88/407,153.76 = 111,529.28/x
  3. Step 3: Cross multiply
    271,498.88x = 407,153.76 × 111,529.28
  4. Step 4: Simplify right side
    271,498.88x = 45,409,565,702.09
  5. Step 5: Solve for x
    x = 45,409,565,702.09/271,498.88
  6. Step 6: Final answer
    x = 167,255.08

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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.