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Finding the Fourth Proportional to 199,849.40, 299,628.30 and 81,459.80

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Solution

The fourth proportional to 199,849.40, 299,628.30 and 81,459.80 is: 122,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,849.40 : 299,628.30 = 81,459.80 : x
  2. Step 2: Convert to fraction form
    199,849.40/299,628.30 = 81,459.80/x
  3. Step 3: Cross multiply
    199,849.40x = 299,628.30 × 81,459.80
  4. Step 4: Simplify right side
    199,849.40x = 24,407,661,392.34
  5. Step 5: Solve for x
    x = 24,407,661,392.34/199,849.40
  6. Step 6: Final answer
    x = 122,130.27

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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.