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Finding the Fourth Proportional to 156,619.42, 216,134.97 and 84,999.49

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Solution

The fourth proportional to 156,619.42, 216,134.97 and 84,999.49 is: 117,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,619.42 : 216,134.97 = 84,999.49 : x
  2. Step 2: Convert to fraction form
    156,619.42/216,134.97 = 84,999.49/x
  3. Step 3: Cross multiply
    156,619.42x = 216,134.97 × 84,999.49
  4. Step 4: Simplify right side
    156,619.42x = 18,371,361,362.08
  5. Step 5: Solve for x
    x = 18,371,361,362.08/156,619.42
  6. Step 6: Final answer
    x = 117,299.39

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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.