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Finding the Fourth Proportional to 224,784.36, 337,130.77 and 82,580.76

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Solution

The fourth proportional to 224,784.36, 337,130.77 and 82,580.76 is: 123,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,784.36 : 337,130.77 = 82,580.76 : x
  2. Step 2: Convert to fraction form
    224,784.36/337,130.77 = 82,580.76/x
  3. Step 3: Cross multiply
    224,784.36x = 337,130.77 × 82,580.76
  4. Step 4: Simplify right side
    224,784.36x = 27,840,513,107.43
  5. Step 5: Solve for x
    x = 27,840,513,107.43/224,784.36
  6. Step 6: Final answer
    x = 123,854.32

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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.