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Finding the Fourth Proportional to 218,904.42, 301,742.76 and 161,359.38

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Solution

The fourth proportional to 218,904.42, 301,742.76 and 161,359.38 is: 222,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,904.42 : 301,742.76 = 161,359.38 : x
  2. Step 2: Convert to fraction form
    218,904.42/301,742.76 = 161,359.38/x
  3. Step 3: Cross multiply
    218,904.42x = 301,742.76 × 161,359.38
  4. Step 4: Simplify right side
    218,904.42x = 48,689,024,673.09
  5. Step 5: Solve for x
    x = 48,689,024,673.09/218,904.42
  6. Step 6: Final answer
    x = 222,421.39

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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.