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Finding the Fourth Proportional to 106,491.80, 146,958.36 and 58,750.40

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Solution

The fourth proportional to 106,491.80, 146,958.36 and 58,750.40 is: 81,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,491.80 : 146,958.36 = 58,750.40 : x
  2. Step 2: Convert to fraction form
    106,491.80/146,958.36 = 58,750.40/x
  3. Step 3: Cross multiply
    106,491.80x = 146,958.36 × 58,750.40
  4. Step 4: Simplify right side
    106,491.80x = 8,633,862,433.34
  5. Step 5: Solve for x
    x = 8,633,862,433.34/106,491.80
  6. Step 6: Final answer
    x = 81,075.37

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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.