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Finding the Fourth Proportional to 156,803.84, 216,389.57 and 85,183.94

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Solution

The fourth proportional to 156,803.84, 216,389.57 and 85,183.94 is: 117,553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,803.84 : 216,389.57 = 85,183.94 : x
  2. Step 2: Convert to fraction form
    156,803.84/216,389.57 = 85,183.94/x
  3. Step 3: Cross multiply
    156,803.84x = 216,389.57 × 85,183.94
  4. Step 4: Simplify right side
    156,803.84x = 18,432,914,639.64
  5. Step 5: Solve for x
    x = 18,432,914,639.64/156,803.84
  6. Step 6: Final answer
    x = 117,553.98

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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.