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Finding the Fourth Proportional to 222,953.18, 307,930.91 and 146,812.64

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Solution

The fourth proportional to 222,953.18, 307,930.91 and 146,812.64 is: 202,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,953.18 : 307,930.91 = 146,812.64 : x
  2. Step 2: Convert to fraction form
    222,953.18/307,930.91 = 146,812.64/x
  3. Step 3: Cross multiply
    222,953.18x = 307,930.91 × 146,812.64
  4. Step 4: Simplify right side
    222,953.18x = 45,208,149,870.47
  5. Step 5: Solve for x
    x = 45,208,149,870.47/222,953.18
  6. Step 6: Final answer
    x = 202,769.70

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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.