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Finding the Fourth Proportional to 105,961.98, 146,230.11 and 58,218.42

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Solution

The fourth proportional to 105,961.98, 146,230.11 and 58,218.42 is: 80,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,961.98 : 146,230.11 = 58,218.42 : x
  2. Step 2: Convert to fraction form
    105,961.98/146,230.11 = 58,218.42/x
  3. Step 3: Cross multiply
    105,961.98x = 146,230.11 × 58,218.42
  4. Step 4: Simplify right side
    105,961.98x = 8,513,285,960.63
  5. Step 5: Solve for x
    x = 8,513,285,960.63/105,961.98
  6. Step 6: Final answer
    x = 80,342.84

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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.