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Finding the Fourth Proportional to 207,461.90, 311,346.45 and 82,892.30

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Solution

The fourth proportional to 207,461.90, 311,346.45 and 82,892.30 is: 124,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,461.90 : 311,346.45 = 82,892.30 : x
  2. Step 2: Convert to fraction form
    207,461.90/311,346.45 = 82,892.30/x
  3. Step 3: Cross multiply
    207,461.90x = 311,346.45 × 82,892.30
  4. Step 4: Simplify right side
    207,461.90x = 25,808,223,337.34
  5. Step 5: Solve for x
    x = 25,808,223,337.34/207,461.90
  6. Step 6: Final answer
    x = 124,399.82

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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.