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Finding the Fourth Proportional to 180,036, 248,449.68 and 100,548

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Solution

The fourth proportional to 180,036, 248,449.68 and 100,548 is: 138,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,036 : 248,449.68 = 100,548 : x
  2. Step 2: Convert to fraction form
    180,036/248,449.68 = 100,548/x
  3. Step 3: Cross multiply
    180,036x = 248,449.68 × 100,548
  4. Step 4: Simplify right side
    180,036x = 24,981,118,424.64
  5. Step 5: Solve for x
    x = 24,981,118,424.64/180,036
  6. Step 6: Final answer
    x = 138,756.24

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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.