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Finding the Fourth Proportional to 101,909.34, 140,651.64 and 59,459.67

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Solution

The fourth proportional to 101,909.34, 140,651.64 and 59,459.67 is: 82,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,909.34 : 140,651.64 = 59,459.67 : x
  2. Step 2: Convert to fraction form
    101,909.34/140,651.64 = 59,459.67/x
  3. Step 3: Cross multiply
    101,909.34x = 140,651.64 × 59,459.67
  4. Step 4: Simplify right side
    101,909.34x = 8,363,100,099.36
  5. Step 5: Solve for x
    x = 8,363,100,099.36/101,909.34
  6. Step 6: Final answer
    x = 82,064.12

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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.