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Finding the Fourth Proportional to 163,952.20, 226,262.46 and 100,270

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Solution

The fourth proportional to 163,952.20, 226,262.46 and 100,270 is: 138,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,952.20 : 226,262.46 = 100,270 : x
  2. Step 2: Convert to fraction form
    163,952.20/226,262.46 = 100,270/x
  3. Step 3: Cross multiply
    163,952.20x = 226,262.46 × 100,270
  4. Step 4: Simplify right side
    163,952.20x = 22,687,336,864.20
  5. Step 5: Solve for x
    x = 22,687,336,864.20/163,952.20
  6. Step 6: Final answer
    x = 138,377.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.