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Finding the Fourth Proportional to 136,096.94, 204,129.12 and 36,264.44

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Solution

The fourth proportional to 136,096.94, 204,129.12 and 36,264.44 is: 54,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,096.94 : 204,129.12 = 36,264.44 : x
  2. Step 2: Convert to fraction form
    136,096.94/204,129.12 = 36,264.44/x
  3. Step 3: Cross multiply
    136,096.94x = 204,129.12 × 36,264.44
  4. Step 4: Simplify right side
    136,096.94x = 7,402,628,224.49
  5. Step 5: Solve for x
    x = 7,402,628,224.49/136,096.94
  6. Step 6: Final answer
    x = 54,392.32

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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.