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Finding the Fourth Proportional to 214,811.84, 322,221 and 74,574.92

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Solution

The fourth proportional to 214,811.84, 322,221 and 74,574.92 is: 111,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,811.84 : 322,221 = 74,574.92 : x
  2. Step 2: Convert to fraction form
    214,811.84/322,221 = 74,574.92/x
  3. Step 3: Cross multiply
    214,811.84x = 322,221 × 74,574.92
  4. Step 4: Simplify right side
    214,811.84x = 24,029,605,297.32
  5. Step 5: Solve for x
    x = 24,029,605,297.32/214,811.84
  6. Step 6: Final answer
    x = 111,863.50

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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.