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Finding the Fourth Proportional to 127,458.64, 175,727.64 and 82,055.44

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Solution

The fourth proportional to 127,458.64, 175,727.64 and 82,055.44 is: 113,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,458.64 : 175,727.64 = 82,055.44 : x
  2. Step 2: Convert to fraction form
    127,458.64/175,727.64 = 82,055.44/x
  3. Step 3: Cross multiply
    127,458.64x = 175,727.64 × 82,055.44
  4. Step 4: Simplify right side
    127,458.64x = 14,419,408,820.36
  5. Step 5: Solve for x
    x = 14,419,408,820.36/127,458.64
  6. Step 6: Final answer
    x = 113,130.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.