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Finding the Fourth Proportional to 119,302.98, 178,963.60 and 39,309.80

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Solution

The fourth proportional to 119,302.98, 178,963.60 and 39,309.80 is: 58,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,302.98 : 178,963.60 = 39,309.80 : x
  2. Step 2: Convert to fraction form
    119,302.98/178,963.60 = 39,309.80/x
  3. Step 3: Cross multiply
    119,302.98x = 178,963.60 × 39,309.80
  4. Step 4: Simplify right side
    119,302.98x = 7,035,023,323.28
  5. Step 5: Solve for x
    x = 7,035,023,323.28/119,302.98
  6. Step 6: Final answer
    x = 58,967.71

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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.