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Finding the Fourth Proportional to 137,245.66, 189,248.61 and 89,410.30

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Solution

The fourth proportional to 137,245.66, 189,248.61 and 89,410.30 is: 123,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,245.66 : 189,248.61 = 89,410.30 : x
  2. Step 2: Convert to fraction form
    137,245.66/189,248.61 = 89,410.30/x
  3. Step 3: Cross multiply
    137,245.66x = 189,248.61 × 89,410.30
  4. Step 4: Simplify right side
    137,245.66x = 16,920,774,994.68
  5. Step 5: Solve for x
    x = 16,920,774,994.68/137,245.66
  6. Step 6: Final answer
    x = 123,288.23

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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.