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Finding the Fourth Proportional to 219,564.72, 302,882.43 and 133,550.01

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Solution

The fourth proportional to 219,564.72, 302,882.43 and 133,550.01 is: 184,227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,564.72 : 302,882.43 = 133,550.01 : x
  2. Step 2: Convert to fraction form
    219,564.72/302,882.43 = 133,550.01/x
  3. Step 3: Cross multiply
    219,564.72x = 302,882.43 × 133,550.01
  4. Step 4: Simplify right side
    219,564.72x = 40,449,949,373.16
  5. Step 5: Solve for x
    x = 40,449,949,373.16/219,564.72
  6. Step 6: Final answer
    x = 184,227.91

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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.