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Finding the Fourth Proportional to 200,468.48, 276,646.84 and 109,822.46

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Solution

The fourth proportional to 200,468.48, 276,646.84 and 109,822.46 is: 151,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,468.48 : 276,646.84 = 109,822.46 : x
  2. Step 2: Convert to fraction form
    200,468.48/276,646.84 = 109,822.46/x
  3. Step 3: Cross multiply
    200,468.48x = 276,646.84 × 109,822.46
  4. Step 4: Simplify right side
    200,468.48x = 30,382,036,520.03
  5. Step 5: Solve for x
    x = 30,382,036,520.03/200,468.48
  6. Step 6: Final answer
    x = 151,555.18

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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.