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Finding the Fourth Proportional to 186,423.56, 279,418.42 and 106,517.50

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Solution

The fourth proportional to 186,423.56, 279,418.42 and 106,517.50 is: 159,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,423.56 : 279,418.42 = 106,517.50 : x
  2. Step 2: Convert to fraction form
    186,423.56/279,418.42 = 106,517.50/x
  3. Step 3: Cross multiply
    186,423.56x = 279,418.42 × 106,517.50
  4. Step 4: Simplify right side
    186,423.56x = 29,762,950,587.51
  5. Step 5: Solve for x
    x = 29,762,950,587.51/186,423.56
  6. Step 6: Final answer
    x = 159,652.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.