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Finding the Fourth Proportional to 199,872.99, 275,828.13 and 119,284.86

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Solution

The fourth proportional to 199,872.99, 275,828.13 and 119,284.86 is: 164,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,872.99 : 275,828.13 = 119,284.86 : x
  2. Step 2: Convert to fraction form
    199,872.99/275,828.13 = 119,284.86/x
  3. Step 3: Cross multiply
    199,872.99x = 275,828.13 × 119,284.86
  4. Step 4: Simplify right side
    199,872.99x = 32,902,119,871.11
  5. Step 5: Solve for x
    x = 32,902,119,871.11/199,872.99
  6. Step 6: Final answer
    x = 164,615.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.