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Finding the Fourth Proportional to 276,465.63, 414,764.25 and 89,477.13

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Solution

The fourth proportional to 276,465.63, 414,764.25 and 89,477.13 is: 134,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,465.63 : 414,764.25 = 89,477.13 : x
  2. Step 2: Convert to fraction form
    276,465.63/414,764.25 = 89,477.13/x
  3. Step 3: Cross multiply
    276,465.63x = 414,764.25 × 89,477.13
  4. Step 4: Simplify right side
    276,465.63x = 37,111,914,716.60
  5. Step 5: Solve for x
    x = 37,111,914,716.60/276,465.63
  6. Step 6: Final answer
    x = 134,236.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.