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Finding the Fourth Proportional to 276,019.44, 414,029.13 and 89,030.94

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Solution

The fourth proportional to 276,019.44, 414,029.13 and 89,030.94 is: 133,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,019.44 : 414,029.13 = 89,030.94 : x
  2. Step 2: Convert to fraction form
    276,019.44/414,029.13 = 89,030.94/x
  3. Step 3: Cross multiply
    276,019.44x = 414,029.13 × 89,030.94
  4. Step 4: Simplify right side
    276,019.44x = 36,861,402,297.42
  5. Step 5: Solve for x
    x = 36,861,402,297.42/276,019.44
  6. Step 6: Final answer
    x = 133,546.40

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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.