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Finding the Fourth Proportional to 354,843.20, 532,264.80 and 105,492.80

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Solution

The fourth proportional to 354,843.20, 532,264.80 and 105,492.80 is: 158,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,843.20 : 532,264.80 = 105,492.80 : x
  2. Step 2: Convert to fraction form
    354,843.20/532,264.80 = 105,492.80/x
  3. Step 3: Cross multiply
    354,843.20x = 532,264.80 × 105,492.80
  4. Step 4: Simplify right side
    354,843.20x = 56,150,104,093.44
  5. Step 5: Solve for x
    x = 56,150,104,093.44/354,843.20
  6. Step 6: Final answer
    x = 158,239.20

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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.