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Finding the Fourth Proportional to 127,393.95, 175,820.71 and 82,203.32

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Solution

The fourth proportional to 127,393.95, 175,820.71 and 82,203.32 is: 113,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,393.95 : 175,820.71 = 82,203.32 : x
  2. Step 2: Convert to fraction form
    127,393.95/175,820.71 = 82,203.32/x
  3. Step 3: Cross multiply
    127,393.95x = 175,820.71 × 82,203.32
  4. Step 4: Simplify right side
    127,393.95x = 14,453,045,002.15
  5. Step 5: Solve for x
    x = 14,453,045,002.15/127,393.95
  6. Step 6: Final answer
    x = 113,451.58

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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.