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Finding the Fourth Proportional to 222,564.82, 307,161.43 and 127,085.87

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Solution

The fourth proportional to 222,564.82, 307,161.43 and 127,085.87 is: 175,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,564.82 : 307,161.43 = 127,085.87 : x
  2. Step 2: Convert to fraction form
    222,564.82/307,161.43 = 127,085.87/x
  3. Step 3: Cross multiply
    222,564.82x = 307,161.43 × 127,085.87
  4. Step 4: Simplify right side
    222,564.82x = 39,035,877,561.99
  5. Step 5: Solve for x
    x = 39,035,877,561.99/222,564.82
  6. Step 6: Final answer
    x = 175,391.05

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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.