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Finding the Fourth Proportional to 101,913.32, 140,635.68 and 56,594.19

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Solution

The fourth proportional to 101,913.32, 140,635.68 and 56,594.19 is: 78,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913.32 : 140,635.68 = 56,594.19 : x
  2. Step 2: Convert to fraction form
    101,913.32/140,635.68 = 56,594.19/x
  3. Step 3: Cross multiply
    101,913.32x = 140,635.68 × 56,594.19
  4. Step 4: Simplify right side
    101,913.32x = 7,959,162,709.85
  5. Step 5: Solve for x
    x = 7,959,162,709.85/101,913.32
  6. Step 6: Final answer
    x = 78,097.38

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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.