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Finding the Fourth Proportional to 218,929.84, 328,408.60 and 92,546.53

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Solution

The fourth proportional to 218,929.84, 328,408.60 and 92,546.53 is: 138,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,929.84 : 328,408.60 = 92,546.53 : x
  2. Step 2: Convert to fraction form
    218,929.84/328,408.60 = 92,546.53/x
  3. Step 3: Cross multiply
    218,929.84x = 328,408.60 × 92,546.53
  4. Step 4: Simplify right side
    218,929.84x = 30,393,076,352.16
  5. Step 5: Solve for x
    x = 30,393,076,352.16/218,929.84
  6. Step 6: Final answer
    x = 138,825.65

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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.