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Finding the Fourth Proportional to 160,760.96, 221,896.32 and 97,088

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Solution

The fourth proportional to 160,760.96, 221,896.32 and 97,088 is: 134,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,760.96 : 221,896.32 = 97,088 : x
  2. Step 2: Convert to fraction form
    160,760.96/221,896.32 = 97,088/x
  3. Step 3: Cross multiply
    160,760.96x = 221,896.32 × 97,088
  4. Step 4: Simplify right side
    160,760.96x = 21,543,469,916.16
  5. Step 5: Solve for x
    x = 21,543,469,916.16/160,760.96
  6. Step 6: Final answer
    x = 134,009.34

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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.