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Finding the Fourth Proportional to 194,636.30, 291,724.05 and 82,316.30

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Solution

The fourth proportional to 194,636.30, 291,724.05 and 82,316.30 is: 123,377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,636.30 : 291,724.05 = 82,316.30 : x
  2. Step 2: Convert to fraction form
    194,636.30/291,724.05 = 82,316.30/x
  3. Step 3: Cross multiply
    194,636.30x = 291,724.05 × 82,316.30
  4. Step 4: Simplify right side
    194,636.30x = 24,013,644,417.02
  5. Step 5: Solve for x
    x = 24,013,644,417.02/194,636.30
  6. Step 6: Final answer
    x = 123,377.01

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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.