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Finding the Fourth Proportional to 160,814.96, 221,938.24 and 89,218

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Solution

The fourth proportional to 160,814.96, 221,938.24 and 89,218 is: 123,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,814.96 : 221,938.24 = 89,218 : x
  2. Step 2: Convert to fraction form
    160,814.96/221,938.24 = 89,218/x
  3. Step 3: Cross multiply
    160,814.96x = 221,938.24 × 89,218
  4. Step 4: Simplify right side
    160,814.96x = 19,800,885,896.32
  5. Step 5: Solve for x
    x = 19,800,885,896.32/160,814.96
  6. Step 6: Final answer
    x = 123,128.38

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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.