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Finding the Fourth Proportional to 156,816.74, 216,407.28 and 85,196.84

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Solution

The fourth proportional to 156,816.74, 216,407.28 and 85,196.84 is: 117,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,816.74 : 216,407.28 = 85,196.84 : x
  2. Step 2: Convert to fraction form
    156,816.74/216,407.28 = 85,196.84/x
  3. Step 3: Cross multiply
    156,816.74x = 216,407.28 × 85,196.84
  4. Step 4: Simplify right side
    156,816.74x = 18,437,216,409.00
  5. Step 5: Solve for x
    x = 18,437,216,409.00/156,816.74
  6. Step 6: Final answer
    x = 117,571.74

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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.