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Finding the Fourth Proportional to 276,482.76, 414,709.56 and 136,194

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Solution

The fourth proportional to 276,482.76, 414,709.56 and 136,194 is: 204,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,482.76 : 414,709.56 = 136,194 : x
  2. Step 2: Convert to fraction form
    276,482.76/414,709.56 = 136,194/x
  3. Step 3: Cross multiply
    276,482.76x = 414,709.56 × 136,194
  4. Step 4: Simplify right side
    276,482.76x = 56,480,953,814.64
  5. Step 5: Solve for x
    x = 56,480,953,814.64/276,482.76
  6. Step 6: Final answer
    x = 204,283.82

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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.