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Finding the Fourth Proportional to 106,202.88, 146,563.88 and 58,458.24

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Solution

The fourth proportional to 106,202.88, 146,563.88 and 58,458.24 is: 80,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,202.88 : 146,563.88 = 58,458.24 : x
  2. Step 2: Convert to fraction form
    106,202.88/146,563.88 = 58,458.24/x
  3. Step 3: Cross multiply
    106,202.88x = 146,563.88 × 58,458.24
  4. Step 4: Simplify right side
    106,202.88x = 8,567,866,472.37
  5. Step 5: Solve for x
    x = 8,567,866,472.37/106,202.88
  6. Step 6: Final answer
    x = 80,674.52

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1.5x scale

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.