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Finding the Fourth Proportional to 133,821.72, 184,210.38 and 115,664.10

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Solution

The fourth proportional to 133,821.72, 184,210.38 and 115,664.10 is: 159,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,821.72 : 184,210.38 = 115,664.10 : x
  2. Step 2: Convert to fraction form
    133,821.72/184,210.38 = 115,664.10/x
  3. Step 3: Cross multiply
    133,821.72x = 184,210.38 × 115,664.10
  4. Step 4: Simplify right side
    133,821.72x = 21,306,527,813.36
  5. Step 5: Solve for x
    x = 21,306,527,813.36/133,821.72
  6. Step 6: Final answer
    x = 159,215.77

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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.