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Finding the Fourth Proportional to 276,111.24, 414,210.69 and 89,079

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Solution

The fourth proportional to 276,111.24, 414,210.69 and 89,079 is: 133,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,111.24 : 414,210.69 = 89,079 : x
  2. Step 2: Convert to fraction form
    276,111.24/414,210.69 = 89,079/x
  3. Step 3: Cross multiply
    276,111.24x = 414,210.69 × 89,079
  4. Step 4: Simplify right side
    276,111.24x = 36,897,474,054.51
  5. Step 5: Solve for x
    x = 36,897,474,054.51/276,111.24
  6. Step 6: Final answer
    x = 133,632.64

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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.