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Finding the Fourth Proportional to 136,563.84, 204,909.12 and 57,696.48

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Solution

The fourth proportional to 136,563.84, 204,909.12 and 57,696.48 is: 86,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,563.84 : 204,909.12 = 57,696.48 : x
  2. Step 2: Convert to fraction form
    136,563.84/204,909.12 = 57,696.48/x
  3. Step 3: Cross multiply
    136,563.84x = 204,909.12 × 57,696.48
  4. Step 4: Simplify right side
    136,563.84x = 11,822,534,943.90
  5. Step 5: Solve for x
    x = 11,822,534,943.90/136,563.84
  6. Step 6: Final answer
    x = 86,571.49

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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.