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Finding the Fourth Proportional to 227,905.68, 314,134.75 and 161,624.20

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Solution

The fourth proportional to 227,905.68, 314,134.75 and 161,624.20 is: 222,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,905.68 : 314,134.75 = 161,624.20 : x
  2. Step 2: Convert to fraction form
    227,905.68/314,134.75 = 161,624.20/x
  3. Step 3: Cross multiply
    227,905.68x = 314,134.75 × 161,624.20
  4. Step 4: Simplify right side
    227,905.68x = 50,771,776,852.83
  5. Step 5: Solve for x
    x = 50,771,776,852.83/227,905.68
  6. Step 6: Final answer
    x = 222,775.39

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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.