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Finding the Fourth Proportional to 214,673.25, 322,009.89 and 66,929.25

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Solution

The fourth proportional to 214,673.25, 322,009.89 and 66,929.25 is: 100,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,673.25 : 322,009.89 = 66,929.25 : x
  2. Step 2: Convert to fraction form
    214,673.25/322,009.89 = 66,929.25/x
  3. Step 3: Cross multiply
    214,673.25x = 322,009.89 × 66,929.25
  4. Step 4: Simplify right side
    214,673.25x = 21,551,880,430.28
  5. Step 5: Solve for x
    x = 21,551,880,430.28/214,673.25
  6. Step 6: Final answer
    x = 100,393.88

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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.