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Finding the Fourth Proportional to 106,390.74, 146,825.79 and 58,643.98

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Solution

The fourth proportional to 106,390.74, 146,825.79 and 58,643.98 is: 80,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,390.74 : 146,825.79 = 58,643.98 : x
  2. Step 2: Convert to fraction form
    106,390.74/146,825.79 = 58,643.98/x
  3. Step 3: Cross multiply
    106,390.74x = 146,825.79 × 58,643.98
  4. Step 4: Simplify right side
    106,390.74x = 8,610,448,692.24
  5. Step 5: Solve for x
    x = 8,610,448,692.24/106,390.74
  6. Step 6: Final answer
    x = 80,932.31

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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.