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Finding the Fourth Proportional to 183,700.16, 275,513.68 and 50,546

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Solution

The fourth proportional to 183,700.16, 275,513.68 and 50,546 is: 75,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,700.16 : 275,513.68 = 50,546 : x
  2. Step 2: Convert to fraction form
    183,700.16/275,513.68 = 50,546/x
  3. Step 3: Cross multiply
    183,700.16x = 275,513.68 × 50,546
  4. Step 4: Simplify right side
    183,700.16x = 13,926,114,469.28
  5. Step 5: Solve for x
    x = 13,926,114,469.28/183,700.16
  6. Step 6: Final answer
    x = 75,808.94

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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.