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Finding the Fourth Proportional to 106,295.63, 146,685.74 and 58,549.37

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Solution

The fourth proportional to 106,295.63, 146,685.74 and 58,549.37 is: 80,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,295.63 : 146,685.74 = 58,549.37 : x
  2. Step 2: Convert to fraction form
    106,295.63/146,685.74 = 58,549.37/x
  3. Step 3: Cross multiply
    106,295.63x = 146,685.74 × 58,549.37
  4. Step 4: Simplify right side
    106,295.63x = 8,588,356,638.81
  5. Step 5: Solve for x
    x = 8,588,356,638.81/106,295.63
  6. Step 6: Final answer
    x = 80,796.90

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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.