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Finding the Fourth Proportional to 182,633.46, 252,194.52 and 114,768

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Solution

The fourth proportional to 182,633.46, 252,194.52 and 114,768 is: 158,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,633.46 : 252,194.52 = 114,768 : x
  2. Step 2: Convert to fraction form
    182,633.46/252,194.52 = 114,768/x
  3. Step 3: Cross multiply
    182,633.46x = 252,194.52 × 114,768
  4. Step 4: Simplify right side
    182,633.46x = 28,943,860,671.36
  5. Step 5: Solve for x
    x = 28,943,860,671.36/182,633.46
  6. Step 6: Final answer
    x = 158,480.60

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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.