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Finding the Fourth Proportional to 214,809.21, 322,304.94 and 114,943.50

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Solution

The fourth proportional to 214,809.21, 322,304.94 and 114,943.50 is: 172,464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,809.21 : 322,304.94 = 114,943.50 : x
  2. Step 2: Convert to fraction form
    214,809.21/322,304.94 = 114,943.50/x
  3. Step 3: Cross multiply
    214,809.21x = 322,304.94 × 114,943.50
  4. Step 4: Simplify right side
    214,809.21x = 37,046,857,870.89
  5. Step 5: Solve for x
    x = 37,046,857,870.89/214,809.21
  6. Step 6: Final answer
    x = 172,464.01

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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.