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Finding the Fourth Proportional to 183,744, 275,616 and 59,085

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Solution

The fourth proportional to 183,744, 275,616 and 59,085 is: 88,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,744 : 275,616 = 59,085 : x
  2. Step 2: Convert to fraction form
    183,744/275,616 = 59,085/x
  3. Step 3: Cross multiply
    183,744x = 275,616 × 59,085
  4. Step 4: Simplify right side
    183,744x = 16,284,771,360
  5. Step 5: Solve for x
    x = 16,284,771,360/183,744
  6. Step 6: Final answer
    x = 88,627.50

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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.