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Finding the Fourth Proportional to 339,205.80, 508,808.70 and 102,523.80

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Solution

The fourth proportional to 339,205.80, 508,808.70 and 102,523.80 is: 153,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,205.80 : 508,808.70 = 102,523.80 : x
  2. Step 2: Convert to fraction form
    339,205.80/508,808.70 = 102,523.80/x
  3. Step 3: Cross multiply
    339,205.80x = 508,808.70 × 102,523.80
  4. Step 4: Simplify right side
    339,205.80x = 52,165,001,397.06
  5. Step 5: Solve for x
    x = 52,165,001,397.06/339,205.80
  6. Step 6: Final answer
    x = 153,785.70

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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.