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Finding the Fourth Proportional to 199,911.24, 299,753.46 and 66,719.16

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Solution

The fourth proportional to 199,911.24, 299,753.46 and 66,719.16 is: 100,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,911.24 : 299,753.46 = 66,719.16 : x
  2. Step 2: Convert to fraction form
    199,911.24/299,753.46 = 66,719.16/x
  3. Step 3: Cross multiply
    199,911.24x = 299,753.46 × 66,719.16
  4. Step 4: Simplify right side
    199,911.24x = 19,999,299,058.29
  5. Step 5: Solve for x
    x = 19,999,299,058.29/199,911.24
  6. Step 6: Final answer
    x = 100,040.89

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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.