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Finding the Fourth Proportional to 220,969.42, 304,927.96 and 129,097.23

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Solution

The fourth proportional to 220,969.42, 304,927.96 and 129,097.23 is: 178,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,969.42 : 304,927.96 = 129,097.23 : x
  2. Step 2: Convert to fraction form
    220,969.42/304,927.96 = 129,097.23/x
  3. Step 3: Cross multiply
    220,969.42x = 304,927.96 × 129,097.23
  4. Step 4: Simplify right side
    220,969.42x = 39,365,354,985.55
  5. Step 5: Solve for x
    x = 39,365,354,985.55/220,969.42
  6. Step 6: Final answer
    x = 178,148.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.