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Finding the Fourth Proportional to 276,482.54, 414,796.32 and 86,935.22

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Solution

The fourth proportional to 276,482.54, 414,796.32 and 86,935.22 is: 130,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,482.54 : 414,796.32 = 86,935.22 : x
  2. Step 2: Convert to fraction form
    276,482.54/414,796.32 = 86,935.22/x
  3. Step 3: Cross multiply
    276,482.54x = 414,796.32 × 86,935.22
  4. Step 4: Simplify right side
    276,482.54x = 36,060,409,334.39
  5. Step 5: Solve for x
    x = 36,060,409,334.39/276,482.54
  6. Step 6: Final answer
    x = 130,425.63

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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.