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Finding the Fourth Proportional to 134,714, 201,960.44 and 55,884.80

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Solution

The fourth proportional to 134,714, 201,960.44 and 55,884.80 is: 83,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,714 : 201,960.44 = 55,884.80 : x
  2. Step 2: Convert to fraction form
    134,714/201,960.44 = 55,884.80/x
  3. Step 3: Cross multiply
    134,714x = 201,960.44 × 55,884.80
  4. Step 4: Simplify right side
    134,714x = 11,286,518,797.31
  5. Step 5: Solve for x
    x = 11,286,518,797.31/134,714
  6. Step 6: Final answer
    x = 83,781.34

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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.