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Finding the Fourth Proportional to 106,053.50, 146,354.21 and 58,309.88

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Solution

The fourth proportional to 106,053.50, 146,354.21 and 58,309.88 is: 80,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,053.50 : 146,354.21 = 58,309.88 : x
  2. Step 2: Convert to fraction form
    106,053.50/146,354.21 = 58,309.88/x
  3. Step 3: Cross multiply
    106,053.50x = 146,354.21 × 58,309.88
  4. Step 4: Simplify right side
    106,053.50x = 8,533,895,399.27
  5. Step 5: Solve for x
    x = 8,533,895,399.27/106,053.50
  6. Step 6: Final answer
    x = 80,467.84

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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.