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Finding the Fourth Proportional to 105,995.44, 146,276.40 and 58,250

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Solution

The fourth proportional to 105,995.44, 146,276.40 and 58,250 is: 80,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,995.44 : 146,276.40 = 58,250 : x
  2. Step 2: Convert to fraction form
    105,995.44/146,276.40 = 58,250/x
  3. Step 3: Cross multiply
    105,995.44x = 146,276.40 × 58,250
  4. Step 4: Simplify right side
    105,995.44x = 8,520,600,300
  5. Step 5: Solve for x
    x = 8,520,600,300/105,995.44
  6. Step 6: Final answer
    x = 80,386.48

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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.