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Finding the Fourth Proportional to 136,382.88, 204,539.76 and 57,496.48

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Solution

The fourth proportional to 136,382.88, 204,539.76 and 57,496.48 is: 86,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,382.88 : 204,539.76 = 57,496.48 : x
  2. Step 2: Convert to fraction form
    136,382.88/204,539.76 = 57,496.48/x
  3. Step 3: Cross multiply
    136,382.88x = 204,539.76 × 57,496.48
  4. Step 4: Simplify right side
    136,382.88x = 11,760,316,220.04
  5. Step 5: Solve for x
    x = 11,760,316,220.04/136,382.88
  6. Step 6: Final answer
    x = 86,230.15

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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.