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Finding the Fourth Proportional to 159,412.38, 219,989.10 and 87,792.27

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Solution

The fourth proportional to 159,412.38, 219,989.10 and 87,792.27 is: 121,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,412.38 : 219,989.10 = 87,792.27 : x
  2. Step 2: Convert to fraction form
    159,412.38/219,989.10 = 87,792.27/x
  3. Step 3: Cross multiply
    159,412.38x = 219,989.10 × 87,792.27
  4. Step 4: Simplify right side
    159,412.38x = 19,313,341,364.31
  5. Step 5: Solve for x
    x = 19,313,341,364.31/159,412.38
  6. Step 6: Final answer
    x = 121,153.34

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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.