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Finding the Fourth Proportional to 90,184, 135,355.84 and 42,857.28

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Solution

The fourth proportional to 90,184, 135,355.84 and 42,857.28 is: 64,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,184 : 135,355.84 = 42,857.28 : x
  2. Step 2: Convert to fraction form
    90,184/135,355.84 = 42,857.28/x
  3. Step 3: Cross multiply
    90,184x = 135,355.84 × 42,857.28
  4. Step 4: Simplify right side
    90,184x = 5,800,983,134.52
  5. Step 5: Solve for x
    x = 5,800,983,134.52/90,184
  6. Step 6: Final answer
    x = 64,323.86

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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.