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Finding the Fourth Proportional to 223,831.84, 335,633.68 and 109,987.21

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Solution

The fourth proportional to 223,831.84, 335,633.68 and 109,987.21 is: 164,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,831.84 : 335,633.68 = 109,987.21 : x
  2. Step 2: Convert to fraction form
    223,831.84/335,633.68 = 109,987.21/x
  3. Step 3: Cross multiply
    223,831.84x = 335,633.68 × 109,987.21
  4. Step 4: Simplify right side
    223,831.84x = 36,915,412,045.23
  5. Step 5: Solve for x
    x = 36,915,412,045.23/223,831.84
  6. Step 6: Final answer
    x = 164,924.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.