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Finding the Fourth Proportional to 108,529.74, 149,764.14 and 60,782.67

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Solution

The fourth proportional to 108,529.74, 149,764.14 and 60,782.67 is: 83,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,529.74 : 149,764.14 = 60,782.67 : x
  2. Step 2: Convert to fraction form
    108,529.74/149,764.14 = 60,782.67/x
  3. Step 3: Cross multiply
    108,529.74x = 149,764.14 × 60,782.67
  4. Step 4: Simplify right side
    108,529.74x = 9,103,064,299.45
  5. Step 5: Solve for x
    x = 9,103,064,299.45/108,529.74
  6. Step 6: Final answer
    x = 83,876.22

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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.