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Finding the Fourth Proportional to 182,254.65, 251,509.80 and 100,583.86

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Solution

The fourth proportional to 182,254.65, 251,509.80 and 100,583.86 is: 138,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,254.65 : 251,509.80 = 100,583.86 : x
  2. Step 2: Convert to fraction form
    182,254.65/251,509.80 = 100,583.86/x
  3. Step 3: Cross multiply
    182,254.65x = 251,509.80 × 100,583.86
  4. Step 4: Simplify right side
    182,254.65x = 25,297,826,511.83
  5. Step 5: Solve for x
    x = 25,297,826,511.83/182,254.65
  6. Step 6: Final answer
    x = 138,804.83

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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.