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Finding the Fourth Proportional to 123,596.16, 185,420.16 and 53,485.44

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Solution

The fourth proportional to 123,596.16, 185,420.16 and 53,485.44 is: 80,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,596.16 : 185,420.16 = 53,485.44 : x
  2. Step 2: Convert to fraction form
    123,596.16/185,420.16 = 53,485.44/x
  3. Step 3: Cross multiply
    123,596.16x = 185,420.16 × 53,485.44
  4. Step 4: Simplify right side
    123,596.16x = 9,917,278,842.47
  5. Step 5: Solve for x
    x = 9,917,278,842.47/123,596.16
  6. Step 6: Final answer
    x = 80,239.38

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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.