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Finding the Fourth Proportional to 106,178.34, 159,156.45 and 39,589.50

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Solution

The fourth proportional to 106,178.34, 159,156.45 and 39,589.50 is: 59,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,178.34 : 159,156.45 = 39,589.50 : x
  2. Step 2: Convert to fraction form
    106,178.34/159,156.45 = 39,589.50/x
  3. Step 3: Cross multiply
    106,178.34x = 159,156.45 × 39,589.50
  4. Step 4: Simplify right side
    106,178.34x = 6,300,924,277.28
  5. Step 5: Solve for x
    x = 6,300,924,277.28/106,178.34
  6. Step 6: Final answer
    x = 59,342.84

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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.