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Finding the Fourth Proportional to 218,468.40, 328,048.20 and 159,716.40

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Solution

The fourth proportional to 218,468.40, 328,048.20 and 159,716.40 is: 239,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,468.40 : 328,048.20 = 159,716.40 : x
  2. Step 2: Convert to fraction form
    218,468.40/328,048.20 = 159,716.40/x
  3. Step 3: Cross multiply
    218,468.40x = 328,048.20 × 159,716.40
  4. Step 4: Simplify right side
    218,468.40x = 52,394,677,530.48
  5. Step 5: Solve for x
    x = 52,394,677,530.48/218,468.40
  6. Step 6: Final answer
    x = 239,827.26

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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.