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Finding the Fourth Proportional to 144,956.34, 217,424.79 and 39,766.50

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Solution

The fourth proportional to 144,956.34, 217,424.79 and 39,766.50 is: 59,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,956.34 : 217,424.79 = 39,766.50 : x
  2. Step 2: Convert to fraction form
    144,956.34/217,424.79 = 39,766.50/x
  3. Step 3: Cross multiply
    144,956.34x = 217,424.79 × 39,766.50
  4. Step 4: Simplify right side
    144,956.34x = 8,646,222,911.54
  5. Step 5: Solve for x
    x = 8,646,222,911.54/144,956.34
  6. Step 6: Final answer
    x = 59,647.08

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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.