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Finding the Fourth Proportional to 136,598.16, 204,918.48 and 57,712.80

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Solution

The fourth proportional to 136,598.16, 204,918.48 and 57,712.80 is: 86,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,598.16 : 204,918.48 = 57,712.80 : x
  2. Step 2: Convert to fraction form
    136,598.16/204,918.48 = 57,712.80/x
  3. Step 3: Cross multiply
    136,598.16x = 204,918.48 × 57,712.80
  4. Step 4: Simplify right side
    136,598.16x = 11,826,419,252.54
  5. Step 5: Solve for x
    x = 11,826,419,252.54/136,598.16
  6. Step 6: Final answer
    x = 86,578.17

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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.