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Finding the Fourth Proportional to 339,116.20, 508,755.30 and 102,461.20

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Solution

The fourth proportional to 339,116.20, 508,755.30 and 102,461.20 is: 153,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,116.20 : 508,755.30 = 102,461.20 : x
  2. Step 2: Convert to fraction form
    339,116.20/508,755.30 = 102,461.20/x
  3. Step 3: Cross multiply
    339,116.20x = 508,755.30 × 102,461.20
  4. Step 4: Simplify right side
    339,116.20x = 52,127,678,544.36
  5. Step 5: Solve for x
    x = 52,127,678,544.36/339,116.20
  6. Step 6: Final answer
    x = 153,716.27

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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.