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Finding the Fourth Proportional to 171,420.30, 256,693.05 and 136,428.30

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Solution

The fourth proportional to 171,420.30, 256,693.05 and 136,428.30 is: 204,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,420.30 : 256,693.05 = 136,428.30 : x
  2. Step 2: Convert to fraction form
    171,420.30/256,693.05 = 136,428.30/x
  3. Step 3: Cross multiply
    171,420.30x = 256,693.05 × 136,428.30
  4. Step 4: Simplify right side
    171,420.30x = 35,020,196,433.32
  5. Step 5: Solve for x
    x = 35,020,196,433.32/171,420.30
  6. Step 6: Final answer
    x = 204,294.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.