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Finding the Fourth Proportional to 106,095.78, 146,415.06 and 58,350.42

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Solution

The fourth proportional to 106,095.78, 146,415.06 and 58,350.42 is: 80,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,095.78 : 146,415.06 = 58,350.42 : x
  2. Step 2: Convert to fraction form
    106,095.78/146,415.06 = 58,350.42/x
  3. Step 3: Cross multiply
    106,095.78x = 146,415.06 × 58,350.42
  4. Step 4: Simplify right side
    106,095.78x = 8,543,380,245.33
  5. Step 5: Solve for x
    x = 8,543,380,245.33/106,095.78
  6. Step 6: Final answer
    x = 80,525.17

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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.