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Finding the Fourth Proportional to 339,204.80, 508,807.20 and 102,522.80

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Solution

The fourth proportional to 339,204.80, 508,807.20 and 102,522.80 is: 153,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,204.80 : 508,807.20 = 102,522.80 : x
  2. Step 2: Convert to fraction form
    339,204.80/508,807.20 = 102,522.80/x
  3. Step 3: Cross multiply
    339,204.80x = 508,807.20 × 102,522.80
  4. Step 4: Simplify right side
    339,204.80x = 52,164,338,804.16
  5. Step 5: Solve for x
    x = 52,164,338,804.16/339,204.80
  6. Step 6: Final answer
    x = 153,784.20

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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.