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Finding the Fourth Proportional to 218,710.22, 328,065.34 and 52,498.22

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Solution

The fourth proportional to 218,710.22, 328,065.34 and 52,498.22 is: 78,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,710.22 : 328,065.34 = 52,498.22 : x
  2. Step 2: Convert to fraction form
    218,710.22/328,065.34 = 52,498.22/x
  3. Step 3: Cross multiply
    218,710.22x = 328,065.34 × 52,498.22
  4. Step 4: Simplify right side
    218,710.22x = 17,222,846,393.69
  5. Step 5: Solve for x
    x = 17,222,846,393.69/218,710.22
  6. Step 6: Final answer
    x = 78,747.33

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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.