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Finding the Fourth Proportional to 272,927.09, 409,334.25 and 73,200

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Solution

The fourth proportional to 272,927.09, 409,334.25 and 73,200 is: 109,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,927.09 : 409,334.25 = 73,200 : x
  2. Step 2: Convert to fraction form
    272,927.09/409,334.25 = 73,200/x
  3. Step 3: Cross multiply
    272,927.09x = 409,334.25 × 73,200
  4. Step 4: Simplify right side
    272,927.09x = 29,963,267,100
  5. Step 5: Solve for x
    x = 29,963,267,100/272,927.09
  6. Step 6: Final answer
    x = 109,784.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.