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Finding the Fourth Proportional to 101,917.91, 140,641.98 and 56,598.77

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Solution

The fourth proportional to 101,917.91, 140,641.98 and 56,598.77 is: 78,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,917.91 : 140,641.98 = 56,598.77 : x
  2. Step 2: Convert to fraction form
    101,917.91/140,641.98 = 56,598.77/x
  3. Step 3: Cross multiply
    101,917.91x = 140,641.98 × 56,598.77
  4. Step 4: Simplify right side
    101,917.91x = 7,960,163,078.36
  5. Step 5: Solve for x
    x = 7,960,163,078.36/101,917.91
  6. Step 6: Final answer
    x = 78,103.67

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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.