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Finding the Fourth Proportional to 189,612.66, 284,308.96 and 89,772

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Solution

The fourth proportional to 189,612.66, 284,308.96 and 89,772 is: 134,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,612.66 : 284,308.96 = 89,772 : x
  2. Step 2: Convert to fraction form
    189,612.66/284,308.96 = 89,772/x
  3. Step 3: Cross multiply
    189,612.66x = 284,308.96 × 89,772
  4. Step 4: Simplify right side
    189,612.66x = 25,522,983,957.12
  5. Step 5: Solve for x
    x = 25,522,983,957.12/189,612.66
  6. Step 6: Final answer
    x = 134,605.91

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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.