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Finding the Fourth Proportional to 122,602.50, 182,830.86 and 121,481.44

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Solution

The fourth proportional to 122,602.50, 182,830.86 and 121,481.44 is: 181,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,602.50 : 182,830.86 = 121,481.44 : x
  2. Step 2: Convert to fraction form
    122,602.50/182,830.86 = 121,481.44/x
  3. Step 3: Cross multiply
    122,602.50x = 182,830.86 × 121,481.44
  4. Step 4: Simplify right side
    122,602.50x = 22,210,555,692.16
  5. Step 5: Solve for x
    x = 22,210,555,692.16/122,602.50
  6. Step 6: Final answer
    x = 181,159.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.