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Finding the Fourth Proportional to 183,499, 275,294.74 and 52,171

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Solution

The fourth proportional to 183,499, 275,294.74 and 52,171 is: 78,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,499 : 275,294.74 = 52,171 : x
  2. Step 2: Convert to fraction form
    183,499/275,294.74 = 52,171/x
  3. Step 3: Cross multiply
    183,499x = 275,294.74 × 52,171
  4. Step 4: Simplify right side
    183,499x = 14,362,401,880.54
  5. Step 5: Solve for x
    x = 14,362,401,880.54/183,499
  6. Step 6: Final answer
    x = 78,269.65

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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.