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Finding the Fourth Proportional to 159,752, 220,457.76 and 89,096

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Solution

The fourth proportional to 159,752, 220,457.76 and 89,096 is: 122,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,752 : 220,457.76 = 89,096 : x
  2. Step 2: Convert to fraction form
    159,752/220,457.76 = 89,096/x
  3. Step 3: Cross multiply
    159,752x = 220,457.76 × 89,096
  4. Step 4: Simplify right side
    159,752x = 19,641,904,584.96
  5. Step 5: Solve for x
    x = 19,641,904,584.96/159,752
  6. Step 6: Final answer
    x = 122,952.48

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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.