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Finding the Fourth Proportional to 144,382.24, 216,236.94 and 140,396.32

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Solution

The fourth proportional to 144,382.24, 216,236.94 and 140,396.32 is: 210,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,382.24 : 216,236.94 = 140,396.32 : x
  2. Step 2: Convert to fraction form
    144,382.24/216,236.94 = 140,396.32/x
  3. Step 3: Cross multiply
    144,382.24x = 216,236.94 × 140,396.32
  4. Step 4: Simplify right side
    144,382.24x = 30,358,870,624.06
  5. Step 5: Solve for x
    x = 30,358,870,624.06/144,382.24
  6. Step 6: Final answer
    x = 210,267.35

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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.