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Finding the Fourth Proportional to 156,729.40, 216,321 and 103,019.41

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Solution

The fourth proportional to 156,729.40, 216,321 and 103,019.41 is: 142,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729.40 : 216,321 = 103,019.41 : x
  2. Step 2: Convert to fraction form
    156,729.40/216,321 = 103,019.41/x
  3. Step 3: Cross multiply
    156,729.40x = 216,321 × 103,019.41
  4. Step 4: Simplify right side
    156,729.40x = 22,285,261,790.61
  5. Step 5: Solve for x
    x = 22,285,261,790.61/156,729.40
  6. Step 6: Final answer
    x = 142,189.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.