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Finding the Fourth Proportional to 222,895.86, 308,002.95 and 162,360.78

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Solution

The fourth proportional to 222,895.86, 308,002.95 and 162,360.78 is: 224,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,895.86 : 308,002.95 = 162,360.78 : x
  2. Step 2: Convert to fraction form
    222,895.86/308,002.95 = 162,360.78/x
  3. Step 3: Cross multiply
    222,895.86x = 308,002.95 × 162,360.78
  4. Step 4: Simplify right side
    222,895.86x = 50,007,599,204.30
  5. Step 5: Solve for x
    x = 50,007,599,204.30/222,895.86
  6. Step 6: Final answer
    x = 224,354.10

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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.