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Finding the Fourth Proportional to 218,890.78, 302,047.13 and 161,561.41

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Solution

The fourth proportional to 218,890.78, 302,047.13 and 161,561.41 is: 222,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,890.78 : 302,047.13 = 161,561.41 : x
  2. Step 2: Convert to fraction form
    218,890.78/302,047.13 = 161,561.41/x
  3. Step 3: Cross multiply
    218,890.78x = 302,047.13 × 161,561.41
  4. Step 4: Simplify right side
    218,890.78x = 48,799,159,858.04
  5. Step 5: Solve for x
    x = 48,799,159,858.04/218,890.78
  6. Step 6: Final answer
    x = 222,938.40

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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.