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Finding the Fourth Proportional to 106,272.34, 146,656.80 and 58,525.88

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Solution

The fourth proportional to 106,272.34, 146,656.80 and 58,525.88 is: 80,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,272.34 : 146,656.80 = 58,525.88 : x
  2. Step 2: Convert to fraction form
    106,272.34/146,656.80 = 58,525.88/x
  3. Step 3: Cross multiply
    106,272.34x = 146,656.80 × 58,525.88
  4. Step 4: Simplify right side
    106,272.34x = 8,583,218,277.98
  5. Step 5: Solve for x
    x = 8,583,218,277.98/106,272.34
  6. Step 6: Final answer
    x = 80,766.25

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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.