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Finding the Fourth Proportional to 200,096.02, 300,068.70 and 81,704

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Solution

The fourth proportional to 200,096.02, 300,068.70 and 81,704 is: 122,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,096.02 : 300,068.70 = 81,704 : x
  2. Step 2: Convert to fraction form
    200,096.02/300,068.70 = 81,704/x
  3. Step 3: Cross multiply
    200,096.02x = 300,068.70 × 81,704
  4. Step 4: Simplify right side
    200,096.02x = 24,516,813,064.80
  5. Step 5: Solve for x
    x = 24,516,813,064.80/200,096.02
  6. Step 6: Final answer
    x = 122,525.24

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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.