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Finding the Fourth Proportional to 136,544.54, 204,814.78 and 83,252.21

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Solution

The fourth proportional to 136,544.54, 204,814.78 and 83,252.21 is: 124,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,544.54 : 204,814.78 = 83,252.21 : x
  2. Step 2: Convert to fraction form
    136,544.54/204,814.78 = 83,252.21/x
  3. Step 3: Cross multiply
    136,544.54x = 204,814.78 × 83,252.21
  4. Step 4: Simplify right side
    136,544.54x = 17,051,281,843.46
  5. Step 5: Solve for x
    x = 17,051,281,843.46/136,544.54
  6. Step 6: Final answer
    x = 124,877.07

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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.