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Finding the Fourth Proportional to 276,012.13, 414,018.16 and 89,023.63

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Solution

The fourth proportional to 276,012.13, 414,018.16 and 89,023.63 is: 133,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,012.13 : 414,018.16 = 89,023.63 : x
  2. Step 2: Convert to fraction form
    276,012.13/414,018.16 = 89,023.63/x
  3. Step 3: Cross multiply
    276,012.13x = 414,018.16 × 89,023.63
  4. Step 4: Simplify right side
    276,012.13x = 36,857,399,489.12
  5. Step 5: Solve for x
    x = 36,857,399,489.12/276,012.13
  6. Step 6: Final answer
    x = 133,535.43

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1.5x scale

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.