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Finding the Fourth Proportional to 222,901.38, 307,723.25 and 171,802.13

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Solution

The fourth proportional to 222,901.38, 307,723.25 and 171,802.13 is: 237,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,901.38 : 307,723.25 = 171,802.13 : x
  2. Step 2: Convert to fraction form
    222,901.38/307,723.25 = 171,802.13/x
  3. Step 3: Cross multiply
    222,901.38x = 307,723.25 × 171,802.13
  4. Step 4: Simplify right side
    222,901.38x = 52,867,507,402.90
  5. Step 5: Solve for x
    x = 52,867,507,402.90/222,901.38
  6. Step 6: Final answer
    x = 237,178.91

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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.