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Finding the Fourth Proportional to 224,416.82, 336,526.68 and 84,077.04

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Solution

The fourth proportional to 224,416.82, 336,526.68 and 84,077.04 is: 126,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,416.82 : 336,526.68 = 84,077.04 : x
  2. Step 2: Convert to fraction form
    224,416.82/336,526.68 = 84,077.04/x
  3. Step 3: Cross multiply
    224,416.82x = 336,526.68 × 84,077.04
  4. Step 4: Simplify right side
    224,416.82x = 28,294,167,135.43
  5. Step 5: Solve for x
    x = 28,294,167,135.43/224,416.82
  6. Step 6: Final answer
    x = 126,078.64

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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.