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Finding the Fourth Proportional to 156,896.34, 216,511.65 and 89,815.38

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Solution

The fourth proportional to 156,896.34, 216,511.65 and 89,815.38 is: 123,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,896.34 : 216,511.65 = 89,815.38 : x
  2. Step 2: Convert to fraction form
    156,896.34/216,511.65 = 89,815.38/x
  3. Step 3: Cross multiply
    156,896.34x = 216,511.65 × 89,815.38
  4. Step 4: Simplify right side
    156,896.34x = 19,446,076,119.18
  5. Step 5: Solve for x
    x = 19,446,076,119.18/156,896.34
  6. Step 6: Final answer
    x = 123,942.19

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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.