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Finding the Fourth Proportional to 122,496, 183,744 and 39,390

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Solution

The fourth proportional to 122,496, 183,744 and 39,390 is: 59,085

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,496 : 183,744 = 39,390 : x
  2. Step 2: Convert to fraction form
    122,496/183,744 = 39,390/x
  3. Step 3: Cross multiply
    122,496x = 183,744 × 39,390
  4. Step 4: Simplify right side
    122,496x = 7,237,676,160
  5. Step 5: Solve for x
    x = 7,237,676,160/122,496
  6. Step 6: Final answer
    x = 59,085

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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.