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Finding the Fourth Proportional to 199,463.40, 299,195.10 and 81,219.60

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Solution

The fourth proportional to 199,463.40, 299,195.10 and 81,219.60 is: 121,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,463.40 : 299,195.10 = 81,219.60 : x
  2. Step 2: Convert to fraction form
    199,463.40/299,195.10 = 81,219.60/x
  3. Step 3: Cross multiply
    199,463.40x = 299,195.10 × 81,219.60
  4. Step 4: Simplify right side
    199,463.40x = 24,300,506,343.96
  5. Step 5: Solve for x
    x = 24,300,506,343.96/199,463.40
  6. Step 6: Final answer
    x = 121,829.40

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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.