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Finding the Fourth Proportional to 156,863.36, 216,322.44 and 103,193.84

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Solution

The fourth proportional to 156,863.36, 216,322.44 and 103,193.84 is: 142,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,863.36 : 216,322.44 = 103,193.84 : x
  2. Step 2: Convert to fraction form
    156,863.36/216,322.44 = 103,193.84/x
  3. Step 3: Cross multiply
    156,863.36x = 216,322.44 × 103,193.84
  4. Step 4: Simplify right side
    156,863.36x = 22,323,143,261.77
  5. Step 5: Solve for x
    x = 22,323,143,261.77/156,863.36
  6. Step 6: Final answer
    x = 142,309.48

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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.