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Finding the Fourth Proportional to 106,276.80, 146,662.92 and 58,531.80

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Solution

The fourth proportional to 106,276.80, 146,662.92 and 58,531.80 is: 80,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,276.80 : 146,662.92 = 58,531.80 : x
  2. Step 2: Convert to fraction form
    106,276.80/146,662.92 = 58,531.80/x
  3. Step 3: Cross multiply
    106,276.80x = 146,662.92 × 58,531.80
  4. Step 4: Simplify right side
    106,276.80x = 8,584,444,700.86
  5. Step 5: Solve for x
    x = 8,584,444,700.86/106,276.80
  6. Step 6: Final answer
    x = 80,774.40

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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.