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Finding the Fourth Proportional to 208,492.50, 312,757.10 and 58,734.02

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Solution

The fourth proportional to 208,492.50, 312,757.10 and 58,734.02 is: 88,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,492.50 : 312,757.10 = 58,734.02 : x
  2. Step 2: Convert to fraction form
    208,492.50/312,757.10 = 58,734.02/x
  3. Step 3: Cross multiply
    208,492.50x = 312,757.10 × 58,734.02
  4. Step 4: Simplify right side
    208,492.50x = 18,369,481,766.54
  5. Step 5: Solve for x
    x = 18,369,481,766.54/208,492.50
  6. Step 6: Final answer
    x = 88,106.20

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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.