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Finding the Fourth Proportional to 104,414.64, 144,093.28 and 56,668.40

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Solution

The fourth proportional to 104,414.64, 144,093.28 and 56,668.40 is: 78,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,414.64 : 144,093.28 = 56,668.40 : x
  2. Step 2: Convert to fraction form
    104,414.64/144,093.28 = 56,668.40/x
  3. Step 3: Cross multiply
    104,414.64x = 144,093.28 × 56,668.40
  4. Step 4: Simplify right side
    104,414.64x = 8,165,535,628.35
  5. Step 5: Solve for x
    x = 8,165,535,628.35/104,414.64
  6. Step 6: Final answer
    x = 78,202.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.