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Finding the Fourth Proportional to 189,979.40, 285,026.16 and 56,864

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Solution

The fourth proportional to 189,979.40, 285,026.16 and 56,864 is: 85,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,979.40 : 285,026.16 = 56,864 : x
  2. Step 2: Convert to fraction form
    189,979.40/285,026.16 = 56,864/x
  3. Step 3: Cross multiply
    189,979.40x = 285,026.16 × 56,864
  4. Step 4: Simplify right side
    189,979.40x = 16,207,727,562.24
  5. Step 5: Solve for x
    x = 16,207,727,562.24/189,979.40
  6. Step 6: Final answer
    x = 85,313.08

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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.