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Finding the Fourth Proportional to 106,402.37, 146,836.30 and 58,657.44

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Solution

The fourth proportional to 106,402.37, 146,836.30 and 58,657.44 is: 80,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,402.37 : 146,836.30 = 58,657.44 : x
  2. Step 2: Convert to fraction form
    106,402.37/146,836.30 = 58,657.44/x
  3. Step 3: Cross multiply
    106,402.37x = 146,836.30 × 58,657.44
  4. Step 4: Simplify right side
    106,402.37x = 8,613,041,457.07
  5. Step 5: Solve for x
    x = 8,613,041,457.07/106,402.37
  6. Step 6: Final answer
    x = 80,947.83

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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.