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Finding the Fourth Proportional to 185,727.12, 256,296.24 and 100,842.24

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Solution

The fourth proportional to 185,727.12, 256,296.24 and 100,842.24 is: 139,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,727.12 : 256,296.24 = 100,842.24 : x
  2. Step 2: Convert to fraction form
    185,727.12/256,296.24 = 100,842.24/x
  3. Step 3: Cross multiply
    185,727.12x = 256,296.24 × 100,842.24
  4. Step 4: Simplify right side
    185,727.12x = 25,845,486,945.18
  5. Step 5: Solve for x
    x = 25,845,486,945.18/185,727.12
  6. Step 6: Final answer
    x = 139,158.39

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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.