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Finding the Fourth Proportional to 104,676.46, 144,454.56 and 56,930.86

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Solution

The fourth proportional to 104,676.46, 144,454.56 and 56,930.86 is: 78,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,676.46 : 144,454.56 = 56,930.86 : x
  2. Step 2: Convert to fraction form
    104,676.46/144,454.56 = 56,930.86/x
  3. Step 3: Cross multiply
    104,676.46x = 144,454.56 × 56,930.86
  4. Step 4: Simplify right side
    104,676.46x = 8,223,922,331.72
  5. Step 5: Solve for x
    x = 8,223,922,331.72/104,676.46
  6. Step 6: Final answer
    x = 78,565.16

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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.