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Finding the Fourth Proportional to 276,485.76, 414,714.06 and 136,197

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Solution

The fourth proportional to 276,485.76, 414,714.06 and 136,197 is: 204,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,485.76 : 414,714.06 = 136,197 : x
  2. Step 2: Convert to fraction form
    276,485.76/414,714.06 = 136,197/x
  3. Step 3: Cross multiply
    276,485.76x = 414,714.06 × 136,197
  4. Step 4: Simplify right side
    276,485.76x = 56,482,810,829.82
  5. Step 5: Solve for x
    x = 56,482,810,829.82/276,485.76
  6. Step 6: Final answer
    x = 204,288.32

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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.