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Finding the Fourth Proportional to 204,304.34, 306,390.52 and 74,454.63

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Solution

The fourth proportional to 204,304.34, 306,390.52 and 74,454.63 is: 111,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,304.34 : 306,390.52 = 74,454.63 : x
  2. Step 2: Convert to fraction form
    204,304.34/306,390.52 = 74,454.63/x
  3. Step 3: Cross multiply
    204,304.34x = 306,390.52 × 74,454.63
  4. Step 4: Simplify right side
    204,304.34x = 22,812,192,802.11
  5. Step 5: Solve for x
    x = 22,812,192,802.11/204,304.34
  6. Step 6: Final answer
    x = 111,657.90

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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.