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Finding the Fourth Proportional to 218,952.84, 328,476.90 and 67,150

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Solution

The fourth proportional to 218,952.84, 328,476.90 and 67,150 is: 100,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,952.84 : 328,476.90 = 67,150 : x
  2. Step 2: Convert to fraction form
    218,952.84/328,476.90 = 67,150/x
  3. Step 3: Cross multiply
    218,952.84x = 328,476.90 × 67,150
  4. Step 4: Simplify right side
    218,952.84x = 22,057,223,835
  5. Step 5: Solve for x
    x = 22,057,223,835/218,952.84
  6. Step 6: Final answer
    x = 100,739.61

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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.